Finding the Third Proportional to 6,124.50 and 8,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,124.50 : 8,212.50 = 8,212.50 : x
2. Step 2: Convert to fraction form
   6,124.50/8,212.50 = 8,212.50/x
3. Step 3: Cross multiply
   6,124.50x = 8,212.50 × 8,212.50
4. Step 4: Simplify right side
   6,124.50x = 67,445,156.25
5. Step 5: Solve for x
   x = 67,445,156.25/6,124.50
6. Step 6: Final answer
   x = 11,012.35