Finding the Third Proportional to 57,400 and 77,140

Step by Step Solution

1. Step 1: Write the proportion equation
   57,400 : 77,140 = 77,140 : x
2. Step 2: Convert to fraction form
   57,400/77,140 = 77,140/x
3. Step 3: Cross multiply
   57,400x = 77,140 × 77,140
4. Step 4: Simplify right side
   57,400x = 5,950,579,600
5. Step 5: Solve for x
   x = 5,950,579,600/57,400
6. Step 6: Final answer
   x = 103,668.63