Finding the Third Proportional to 10,518 and 17,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518 : 17,530.50 = 17,530.50 : x
2. Step 2: Convert to fraction form
   10,518/17,530.50 = 17,530.50/x
3. Step 3: Cross multiply
   10,518x = 17,530.50 × 17,530.50
4. Step 4: Simplify right side
   10,518x = 307,318,430.25
5. Step 5: Solve for x
   x = 307,318,430.25/10,518
6. Step 6: Final answer
   x = 29,218.33