Finding the Third Proportional to 3,123.50 and 6,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,123.50 : 6,875.50 = 6,875.50 : x
2. Step 2: Convert to fraction form
   3,123.50/6,875.50 = 6,875.50/x
3. Step 3: Cross multiply
   3,123.50x = 6,875.50 × 6,875.50
4. Step 4: Simplify right side
   3,123.50x = 47,272,500.25
5. Step 5: Solve for x
   x = 47,272,500.25/3,123.50
6. Step 6: Final answer
   x = 15,134.46