Finding the Third Proportional to 32,100 and 49,406

Step by Step Solution

1. Step 1: Write the proportion equation
   32,100 : 49,406 = 49,406 : x
2. Step 2: Convert to fraction form
   32,100/49,406 = 49,406/x
3. Step 3: Cross multiply
   32,100x = 49,406 × 49,406
4. Step 4: Simplify right side
   32,100x = 2,440,952,836
5. Step 5: Solve for x
   x = 2,440,952,836/32,100
6. Step 6: Final answer
   x = 76,042.14