Finding the Third Proportional to 6,316.50 and 9,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,316.50 : 9,475.50 = 9,475.50 : x
2. Step 2: Convert to fraction form
   6,316.50/9,475.50 = 9,475.50/x
3. Step 3: Cross multiply
   6,316.50x = 9,475.50 × 9,475.50
4. Step 4: Simplify right side
   6,316.50x = 89,785,100.25
5. Step 5: Solve for x
   x = 89,785,100.25/6,316.50
6. Step 6: Final answer
   x = 14,214.38