Finding the Third Proportional to 14,042 and 32,507

Step by Step Solution

1. Step 1: Write the proportion equation
   14,042 : 32,507 = 32,507 : x
2. Step 2: Convert to fraction form
   14,042/32,507 = 32,507/x
3. Step 3: Cross multiply
   14,042x = 32,507 × 32,507
4. Step 4: Simplify right side
   14,042x = 1,056,705,049
5. Step 5: Solve for x
   x = 1,056,705,049/14,042
6. Step 6: Final answer
   x = 75,253.17