Finding the Third Proportional to 6,788.25 and 9,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.25 : 9,931.50 = 9,931.50 : x
2. Step 2: Convert to fraction form
   6,788.25/9,931.50 = 9,931.50/x
3. Step 3: Cross multiply
   6,788.25x = 9,931.50 × 9,931.50
4. Step 4: Simplify right side
   6,788.25x = 98,634,692.25
5. Step 5: Solve for x
   x = 98,634,692.25/6,788.25
6. Step 6: Final answer
   x = 14,530.21