Finding the Third Proportional to 7,565.75 and 16,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,565.75 : 16,624.50 = 16,624.50 : x
2. Step 2: Convert to fraction form
   7,565.75/16,624.50 = 16,624.50/x
3. Step 3: Cross multiply
   7,565.75x = 16,624.50 × 16,624.50
4. Step 4: Simplify right side
   7,565.75x = 276,374,000.25
5. Step 5: Solve for x
   x = 276,374,000.25/7,565.75
6. Step 6: Final answer
   x = 36,529.62