Finding the Third Proportional to 6,372 and 7,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,372 : 7,546.50 = 7,546.50 : x
2. Step 2: Convert to fraction form
   6,372/7,546.50 = 7,546.50/x
3. Step 3: Cross multiply
   6,372x = 7,546.50 × 7,546.50
4. Step 4: Simplify right side
   6,372x = 56,949,662.25
5. Step 5: Solve for x
   x = 56,949,662.25/6,372
6. Step 6: Final answer
   x = 8,937.49