Finding the Third Proportional to 49,661 and 63,762

Step by Step Solution

1. Step 1: Write the proportion equation
   49,661 : 63,762 = 63,762 : x
2. Step 2: Convert to fraction form
   49,661/63,762 = 63,762/x
3. Step 3: Cross multiply
   49,661x = 63,762 × 63,762
4. Step 4: Simplify right side
   49,661x = 4,065,592,644
5. Step 5: Solve for x
   x = 4,065,592,644/49,661
6. Step 6: Final answer
   x = 81,866.91