Finding the Third Proportional to 10,624.50 and 13,564.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.50 : 13,564.13 = 13,564.13 : x
2. Step 2: Convert to fraction form
   10,624.50/13,564.13 = 13,564.13/x
3. Step 3: Cross multiply
   10,624.50x = 13,564.13 × 13,564.13
4. Step 4: Simplify right side
   10,624.50x = 183,985,487.02
5. Step 5: Solve for x
   x = 183,985,487.02/10,624.50
6. Step 6: Final answer
   x = 17,317.10