Finding the Third Proportional to 5,854.78 and 8,407.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,854.78 : 8,407.55 = 8,407.55 : x
2. Step 2: Convert to fraction form
   5,854.78/8,407.55 = 8,407.55/x
3. Step 3: Cross multiply
   5,854.78x = 8,407.55 × 8,407.55
4. Step 4: Simplify right side
   5,854.78x = 70,686,844.46
5. Step 5: Solve for x
   x = 70,686,844.46/5,854.78
6. Step 6: Final answer
   x = 12,073.35