Finding the Third Proportional to 6,729.25 and 9,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,729.25 : 9,632.50 = 9,632.50 : x
2. Step 2: Convert to fraction form
   6,729.25/9,632.50 = 9,632.50/x
3. Step 3: Cross multiply
   6,729.25x = 9,632.50 × 9,632.50
4. Step 4: Simplify right side
   6,729.25x = 92,785,056.25
5. Step 5: Solve for x
   x = 92,785,056.25/6,729.25
6. Step 6: Final answer
   x = 13,788.32