Finding the Third Proportional to 35,457 and 72,534

Step by Step Solution

1. Step 1: Write the proportion equation
   35,457 : 72,534 = 72,534 : x
2. Step 2: Convert to fraction form
   35,457/72,534 = 72,534/x
3. Step 3: Cross multiply
   35,457x = 72,534 × 72,534
4. Step 4: Simplify right side
   35,457x = 5,261,181,156
5. Step 5: Solve for x
   x = 5,261,181,156/35,457
6. Step 6: Final answer
   x = 148,382.02