Finding the Third Proportional to 11,926.50 and 27,724.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,926.50 : 27,724.13 = 27,724.13 : x
2. Step 2: Convert to fraction form
   11,926.50/27,724.13 = 27,724.13/x
3. Step 3: Cross multiply
   11,926.50x = 27,724.13 × 27,724.13
4. Step 4: Simplify right side
   11,926.50x = 768,627,107.02
5. Step 5: Solve for x
   x = 768,627,107.02/11,926.50
6. Step 6: Final answer
   x = 64,447.00