Finding the Third Proportional to 21,142 and 32,507

Step by Step Solution

1. Step 1: Write the proportion equation
   21,142 : 32,507 = 32,507 : x
2. Step 2: Convert to fraction form
   21,142/32,507 = 32,507/x
3. Step 3: Cross multiply
   21,142x = 32,507 × 32,507
4. Step 4: Simplify right side
   21,142x = 1,056,705,049
5. Step 5: Solve for x
   x = 1,056,705,049/21,142
6. Step 6: Final answer
   x = 49,981.32