Finding the Third Proportional to 5,796.40 and 12,342.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,796.40 : 12,342.45 = 12,342.45 : x
2. Step 2: Convert to fraction form
   5,796.40/12,342.45 = 12,342.45/x
3. Step 3: Cross multiply
   5,796.40x = 12,342.45 × 12,342.45
4. Step 4: Simplify right side
   5,796.40x = 152,336,173.25
5. Step 5: Solve for x
   x = 152,336,173.25/5,796.40
6. Step 6: Final answer
   x = 26,281.15