Finding the Third Proportional to 6,527.25 and 11,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,527.25 : 11,758.50 = 11,758.50 : x
2. Step 2: Convert to fraction form
   6,527.25/11,758.50 = 11,758.50/x
3. Step 3: Cross multiply
   6,527.25x = 11,758.50 × 11,758.50
4. Step 4: Simplify right side
   6,527.25x = 138,262,322.25
5. Step 5: Solve for x
   x = 138,262,322.25/6,527.25
6. Step 6: Final answer
   x = 21,182.32