Finding the Third Proportional to 13,219.50 and 17,624

Step by Step Solution

1. Step 1: Write the proportion equation
   13,219.50 : 17,624 = 17,624 : x
2. Step 2: Convert to fraction form
   13,219.50/17,624 = 17,624/x
3. Step 3: Cross multiply
   13,219.50x = 17,624 × 17,624
4. Step 4: Simplify right side
   13,219.50x = 310,605,376
5. Step 5: Solve for x
   x = 310,605,376/13,219.50
6. Step 6: Final answer
   x = 23,496.00