Finding the Third Proportional to 37,501 and 52,741

Step by Step Solution

1. Step 1: Write the proportion equation
   37,501 : 52,741 = 52,741 : x
2. Step 2: Convert to fraction form
   37,501/52,741 = 52,741/x
3. Step 3: Cross multiply
   37,501x = 52,741 × 52,741
4. Step 4: Simplify right side
   37,501x = 2,781,613,081
5. Step 5: Solve for x
   x = 2,781,613,081/37,501
6. Step 6: Final answer
   x = 74,174.37