Finding the Third Proportional to 37,820 and 78,752

Step by Step Solution

1. Step 1: Write the proportion equation
   37,820 : 78,752 = 78,752 : x
2. Step 2: Convert to fraction form
   37,820/78,752 = 78,752/x
3. Step 3: Cross multiply
   37,820x = 78,752 × 78,752
4. Step 4: Simplify right side
   37,820x = 6,201,877,504
5. Step 5: Solve for x
   x = 6,201,877,504/37,820
6. Step 6: Final answer
   x = 163,984.07