Finding the Third Proportional to 8,164,142,323,869 and 17,492,788,063,598

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,869 : 17,492,788,063,598 = 17,492,788,063,598 : x
2. Step 2: Convert to fraction form
   8,164,142,323,869/17,492,788,063,598 = 17,492,788,063,598/x
3. Step 3: Cross multiply
   8,164,142,323,869x = 17,492,788,063,598 × 17,492,788,063,598
4. Step 4: Simplify right side
   8,164,142,323,869x = 305,997,634,237,956,661,291,515,904
5. Step 5: Solve for x
   x = 305,997,634,237,956,661,291,515,904/8,164,142,323,869
6. Step 6: Final answer
   x = 37,480,683,469,141.66