Finding the Third Proportional to 6,516 and 10,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,516 : 10,045.50 = 10,045.50 : x
2. Step 2: Convert to fraction form
   6,516/10,045.50 = 10,045.50/x
3. Step 3: Cross multiply
   6,516x = 10,045.50 × 10,045.50
4. Step 4: Simplify right side
   6,516x = 100,912,070.25
5. Step 5: Solve for x
   x = 100,912,070.25/6,516
6. Step 6: Final answer
   x = 15,486.81