Finding the Third Proportional to 9,624 and 20,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 20,686.50 = 20,686.50 : x
2. Step 2: Convert to fraction form
   9,624/20,686.50 = 20,686.50/x
3. Step 3: Cross multiply
   9,624x = 20,686.50 × 20,686.50
4. Step 4: Simplify right side
   9,624x = 427,931,282.25
5. Step 5: Solve for x
   x = 427,931,282.25/9,624
6. Step 6: Final answer
   x = 44,465.01