Finding the Third Proportional to 32,541 and 49,499

Step by Step Solution

1. Step 1: Write the proportion equation
   32,541 : 49,499 = 49,499 : x
2. Step 2: Convert to fraction form
   32,541/49,499 = 49,499/x
3. Step 3: Cross multiply
   32,541x = 49,499 × 49,499
4. Step 4: Simplify right side
   32,541x = 2,450,151,001
5. Step 5: Solve for x
   x = 2,450,151,001/32,541
6. Step 6: Final answer
   x = 75,294.27