Finding the Third Proportional to 20,529 and 32,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,529 : 32,638.50 = 32,638.50 : x
2. Step 2: Convert to fraction form
   20,529/32,638.50 = 32,638.50/x
3. Step 3: Cross multiply
   20,529x = 32,638.50 × 32,638.50
4. Step 4: Simplify right side
   20,529x = 1,065,271,682.25
5. Step 5: Solve for x
   x = 1,065,271,682.25/20,529
6. Step 6: Final answer
   x = 51,891.07