Finding the Third Proportional to 6,624 and 14,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,624 : 14,563.50 = 14,563.50 : x
2. Step 2: Convert to fraction form
   6,624/14,563.50 = 14,563.50/x
3. Step 3: Cross multiply
   6,624x = 14,563.50 × 14,563.50
4. Step 4: Simplify right side
   6,624x = 212,095,532.25
5. Step 5: Solve for x
   x = 212,095,532.25/6,624
6. Step 6: Final answer
   x = 32,019.25