Finding the Third Proportional to 8,164,142,323,945 and 17,492,788,063,742

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,945 : 17,492,788,063,742 = 17,492,788,063,742 : x
2. Step 2: Convert to fraction form
   8,164,142,323,945/17,492,788,063,742 = 17,492,788,063,742/x
3. Step 3: Cross multiply
   8,164,142,323,945x = 17,492,788,063,742 × 17,492,788,063,742
4. Step 4: Simplify right side
   8,164,142,323,945x = 305,997,634,242,994,589,210,247,168
5. Step 5: Solve for x
   x = 305,997,634,242,994,589,210,247,168/8,164,142,323,945
6. Step 6: Final answer
   x = 37,480,683,469,409.84