Finding the Third Proportional to 5,580 and 13,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,580 : 13,666.50 = 13,666.50 : x
2. Step 2: Convert to fraction form
   5,580/13,666.50 = 13,666.50/x
3. Step 3: Cross multiply
   5,580x = 13,666.50 × 13,666.50
4. Step 4: Simplify right side
   5,580x = 186,773,222.25
5. Step 5: Solve for x
   x = 186,773,222.25/5,580
6. Step 6: Final answer
   x = 33,471.90