Finding the Third Proportional to 12,969.50 and 20,588

Step by Step Solution

1. Step 1: Write the proportion equation
   12,969.50 : 20,588 = 20,588 : x
2. Step 2: Convert to fraction form
   12,969.50/20,588 = 20,588/x
3. Step 3: Cross multiply
   12,969.50x = 20,588 × 20,588
4. Step 4: Simplify right side
   12,969.50x = 423,865,744
5. Step 5: Solve for x
   x = 423,865,744/12,969.50
6. Step 6: Final answer
   x = 32,681.73