Finding the Third Proportional to 57,506 and 77,287

Step by Step Solution

1. Step 1: Write the proportion equation
   57,506 : 77,287 = 77,287 : x
2. Step 2: Convert to fraction form
   57,506/77,287 = 77,287/x
3. Step 3: Cross multiply
   57,506x = 77,287 × 77,287
4. Step 4: Simplify right side
   57,506x = 5,973,280,369
5. Step 5: Solve for x
   x = 5,973,280,369/57,506
6. Step 6: Final answer
   x = 103,872.30