Finding the Third Proportional to 37,499 and 52,741

Step by Step Solution

1. Step 1: Write the proportion equation
   37,499 : 52,741 = 52,741 : x
2. Step 2: Convert to fraction form
   37,499/52,741 = 52,741/x
3. Step 3: Cross multiply
   37,499x = 52,741 × 52,741
4. Step 4: Simplify right side
   37,499x = 2,781,613,081
5. Step 5: Solve for x
   x = 2,781,613,081/37,499
6. Step 6: Final answer
   x = 74,178.33