Finding the Third Proportional to 5,410.88 and 8,116.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,410.88 : 8,116.31 = 8,116.31 : x
2. Step 2: Convert to fraction form
   5,410.88/8,116.31 = 8,116.31/x
3. Step 3: Cross multiply
   5,410.88x = 8,116.31 × 8,116.31
4. Step 4: Simplify right side
   5,410.88x = 65,874,528.60
5. Step 5: Solve for x
   x = 65,874,528.60/5,410.88
6. Step 6: Final answer
   x = 12,174.47