Finding the Third Proportional to 6,234 and 7,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,234 : 7,933.50 = 7,933.50 : x
2. Step 2: Convert to fraction form
   6,234/7,933.50 = 7,933.50/x
3. Step 3: Cross multiply
   6,234x = 7,933.50 × 7,933.50
4. Step 4: Simplify right side
   6,234x = 62,940,422.25
5. Step 5: Solve for x
   x = 62,940,422.25/6,234
6. Step 6: Final answer
   x = 10,096.31