Finding the Third Proportional to 6,302.25 and 8,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,302.25 : 8,527.50 = 8,527.50 : x
2. Step 2: Convert to fraction form
   6,302.25/8,527.50 = 8,527.50/x
3. Step 3: Cross multiply
   6,302.25x = 8,527.50 × 8,527.50
4. Step 4: Simplify right side
   6,302.25x = 72,718,256.25
5. Step 5: Solve for x
   x = 72,718,256.25/6,302.25
6. Step 6: Final answer
   x = 11,538.46