Finding the Third Proportional to 32,762 and 49,751

Step by Step Solution

1. Step 1: Write the proportion equation
   32,762 : 49,751 = 49,751 : x
2. Step 2: Convert to fraction form
   32,762/49,751 = 49,751/x
3. Step 3: Cross multiply
   32,762x = 49,751 × 49,751
4. Step 4: Simplify right side
   32,762x = 2,475,162,001
5. Step 5: Solve for x
   x = 2,475,162,001/32,762
6. Step 6: Final answer
   x = 75,549.78