Finding the Third Proportional to 6,976.50 and 10,627.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,976.50 : 10,627.13 = 10,627.13 : x
2. Step 2: Convert to fraction form
   6,976.50/10,627.13 = 10,627.13/x
3. Step 3: Cross multiply
   6,976.50x = 10,627.13 × 10,627.13
4. Step 4: Simplify right side
   6,976.50x = 112,935,785.77
5. Step 5: Solve for x
   x = 112,935,785.77/6,976.50
6. Step 6: Final answer
   x = 16,188.03