Finding the Third Proportional to 52,902 and 71,767

Step by Step Solution

1. Step 1: Write the proportion equation
   52,902 : 71,767 = 71,767 : x
2. Step 2: Convert to fraction form
   52,902/71,767 = 71,767/x
3. Step 3: Cross multiply
   52,902x = 71,767 × 71,767
4. Step 4: Simplify right side
   52,902x = 5,150,502,289
5. Step 5: Solve for x
   x = 5,150,502,289/52,902
6. Step 6: Final answer
   x = 97,359.31