Finding the Third Proportional to 57,977 and 82,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,977 : 82,685.50 = 82,685.50 : x
2. Step 2: Convert to fraction form
   57,977/82,685.50 = 82,685.50/x
3. Step 3: Cross multiply
   57,977x = 82,685.50 × 82,685.50
4. Step 4: Simplify right side
   57,977x = 6,836,891,910.25
5. Step 5: Solve for x
   x = 6,836,891,910.25/57,977
6. Step 6: Final answer
   x = 117,924.21