Finding the Third Proportional to 11,947.50 and 12,666.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,947.50 : 12,666.38 = 12,666.38 : x
2. Step 2: Convert to fraction form
   11,947.50/12,666.38 = 12,666.38/x
3. Step 3: Cross multiply
   11,947.50x = 12,666.38 × 12,666.38
4. Step 4: Simplify right side
   11,947.50x = 160,437,055.64
5. Step 5: Solve for x
   x = 160,437,055.64/11,947.50
6. Step 6: Final answer
   x = 13,428.50