Finding the Third Proportional to 12,138.19 and 25,734.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,138.19 : 25,734.38 = 25,734.38 : x
2. Step 2: Convert to fraction form
   12,138.19/25,734.38 = 25,734.38/x
3. Step 3: Cross multiply
   12,138.19x = 25,734.38 × 25,734.38
4. Step 4: Simplify right side
   12,138.19x = 662,258,056.64
5. Step 5: Solve for x
   x = 662,258,056.64/12,138.19
6. Step 6: Final answer
   x = 54,559.88