Finding the Third Proportional to 5,876.23 and 12,238.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876.23 : 12,238.45 = 12,238.45 : x
2. Step 2: Convert to fraction form
   5,876.23/12,238.45 = 12,238.45/x
3. Step 3: Cross multiply
   5,876.23x = 12,238.45 × 12,238.45
4. Step 4: Simplify right side
   5,876.23x = 149,779,734.89
5. Step 5: Solve for x
   x = 149,779,734.89/5,876.23
6. Step 6: Final answer
   x = 25,489.10