Finding the Third Proportional to 35,457 and 72,741

Step by Step Solution

1. Step 1: Write the proportion equation
   35,457 : 72,741 = 72,741 : x
2. Step 2: Convert to fraction form
   35,457/72,741 = 72,741/x
3. Step 3: Cross multiply
   35,457x = 72,741 × 72,741
4. Step 4: Simplify right side
   35,457x = 5,291,253,081
5. Step 5: Solve for x
   x = 5,291,253,081/35,457
6. Step 6: Final answer
   x = 149,230.14