Finding the Third Proportional to 35,541 and 72,712

Step by Step Solution

1. Step 1: Write the proportion equation
   35,541 : 72,712 = 72,712 : x
2. Step 2: Convert to fraction form
   35,541/72,712 = 72,712/x
3. Step 3: Cross multiply
   35,541x = 72,712 × 72,712
4. Step 4: Simplify right side
   35,541x = 5,287,034,944
5. Step 5: Solve for x
   x = 5,287,034,944/35,541
6. Step 6: Final answer
   x = 148,758.76