Finding the Third Proportional to 5,969.25 and 9,160.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,969.25 : 9,160.88 = 9,160.88 : x
2. Step 2: Convert to fraction form
   5,969.25/9,160.88 = 9,160.88/x
3. Step 3: Cross multiply
   5,969.25x = 9,160.88 × 9,160.88
4. Step 4: Simplify right side
   5,969.25x = 83,921,630.77
5. Step 5: Solve for x
   x = 83,921,630.77/5,969.25
6. Step 6: Final answer
   x = 14,058.99