Finding the Third Proportional to 11,697.75 and 27,614.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,697.75 : 27,614.25 = 27,614.25 : x
2. Step 2: Convert to fraction form
   11,697.75/27,614.25 = 27,614.25/x
3. Step 3: Cross multiply
   11,697.75x = 27,614.25 × 27,614.25
4. Step 4: Simplify right side
   11,697.75x = 762,546,803.06
5. Step 5: Solve for x
   x = 762,546,803.06/11,697.75
6. Step 6: Final answer
   x = 65,187.48