Finding the Third Proportional to 5,629.50 and 8,402.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 8,402.06 = 8,402.06 : x
2. Step 2: Convert to fraction form
   5,629.50/8,402.06 = 8,402.06/x
3. Step 3: Cross multiply
   5,629.50x = 8,402.06 × 8,402.06
4. Step 4: Simplify right side
   5,629.50x = 70,594,654.25
5. Step 5: Solve for x
   x = 70,594,654.25/5,629.50
6. Step 6: Final answer
   x = 12,540.13