Finding the Third Proportional to 6,516 and 7,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,516 : 7,123.50 = 7,123.50 : x
2. Step 2: Convert to fraction form
   6,516/7,123.50 = 7,123.50/x
3. Step 3: Cross multiply
   6,516x = 7,123.50 × 7,123.50
4. Step 4: Simplify right side
   6,516x = 50,744,252.25
5. Step 5: Solve for x
   x = 50,744,252.25/6,516
6. Step 6: Final answer
   x = 7,787.64