Finding the Third Proportional to 11,659.50 and 27,525.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,659.50 : 27,525.75 = 27,525.75 : x
2. Step 2: Convert to fraction form
   11,659.50/27,525.75 = 27,525.75/x
3. Step 3: Cross multiply
   11,659.50x = 27,525.75 × 27,525.75
4. Step 4: Simplify right side
   11,659.50x = 757,666,913.06
5. Step 5: Solve for x
   x = 757,666,913.06/11,659.50
6. Step 6: Final answer
   x = 64,982.80