Finding the Third Proportional to 5,662 and 9,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,662 : 9,434.50 = 9,434.50 : x
2. Step 2: Convert to fraction form
   5,662/9,434.50 = 9,434.50/x
3. Step 3: Cross multiply
   5,662x = 9,434.50 × 9,434.50
4. Step 4: Simplify right side
   5,662x = 89,009,790.25
5. Step 5: Solve for x
   x = 89,009,790.25/5,662
6. Step 6: Final answer
   x = 15,720.56