Finding the Third Proportional to 38,540 and 57,810

Step by Step Solution

1. Step 1: Write the proportion equation
   38,540 : 57,810 = 57,810 : x
2. Step 2: Convert to fraction form
   38,540/57,810 = 57,810/x
3. Step 3: Cross multiply
   38,540x = 57,810 × 57,810
4. Step 4: Simplify right side
   38,540x = 3,341,996,100
5. Step 5: Solve for x
   x = 3,341,996,100/38,540
6. Step 6: Final answer
   x = 86,715