Finding the Third Proportional to 21,510 and 32,588

Step by Step Solution

1. Step 1: Write the proportion equation
   21,510 : 32,588 = 32,588 : x
2. Step 2: Convert to fraction form
   21,510/32,588 = 32,588/x
3. Step 3: Cross multiply
   21,510x = 32,588 × 32,588
4. Step 4: Simplify right side
   21,510x = 1,061,977,744
5. Step 5: Solve for x
   x = 1,061,977,744/21,510
6. Step 6: Final answer
   x = 49,371.35