Finding the Third Proportional to 6,374 and 13,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,374 : 13,724.50 = 13,724.50 : x
2. Step 2: Convert to fraction form
   6,374/13,724.50 = 13,724.50/x
3. Step 3: Cross multiply
   6,374x = 13,724.50 × 13,724.50
4. Step 4: Simplify right side
   6,374x = 188,361,900.25
5. Step 5: Solve for x
   x = 188,361,900.25/6,374
6. Step 6: Final answer
   x = 29,551.60