Finding the Third Proportional to 7,642.50 and 13,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.50 : 13,624.50 = 13,624.50 : x
2. Step 2: Convert to fraction form
   7,642.50/13,624.50 = 13,624.50/x
3. Step 3: Cross multiply
   7,642.50x = 13,624.50 × 13,624.50
4. Step 4: Simplify right side
   7,642.50x = 185,627,000.25
5. Step 5: Solve for x
   x = 185,627,000.25/7,642.50
6. Step 6: Final answer
   x = 24,288.78