Finding the Third Proportional to 5,830.31 and 12,166.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.31 : 12,166.88 = 12,166.88 : x
2. Step 2: Convert to fraction form
   5,830.31/12,166.88 = 12,166.88/x
3. Step 3: Cross multiply
   5,830.31x = 12,166.88 × 12,166.88
4. Step 4: Simplify right side
   5,830.31x = 148,032,847.27
5. Step 5: Solve for x
   x = 148,032,847.27/5,830.31
6. Step 6: Final answer
   x = 25,390.21