Finding the Third Proportional to 6,297 and 8,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,297 : 8,428.50 = 8,428.50 : x
2. Step 2: Convert to fraction form
   6,297/8,428.50 = 8,428.50/x
3. Step 3: Cross multiply
   6,297x = 8,428.50 × 8,428.50
4. Step 4: Simplify right side
   6,297x = 71,039,612.25
5. Step 5: Solve for x
   x = 71,039,612.25/6,297
6. Step 6: Final answer
   x = 11,281.50