Finding the Third Proportional to 31,662 and 49,410

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 49,410 = 49,410 : x
2. Step 2: Convert to fraction form
   31,662/49,410 = 49,410/x
3. Step 3: Cross multiply
   31,662x = 49,410 × 49,410
4. Step 4: Simplify right side
   31,662x = 2,441,348,100
5. Step 5: Solve for x
   x = 2,441,348,100/31,662
6. Step 6: Final answer
   x = 77,106.57