Finding the Third Proportional to 12,666.38 and 27,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,666.38 : 27,580.50 = 27,580.50 : x
2. Step 2: Convert to fraction form
   12,666.38/27,580.50 = 27,580.50/x
3. Step 3: Cross multiply
   12,666.38x = 27,580.50 × 27,580.50
4. Step 4: Simplify right side
   12,666.38x = 760,683,980.25
5. Step 5: Solve for x
   x = 760,683,980.25/12,666.38
6. Step 6: Final answer
   x = 60,055.38