Finding the Third Proportional to 12,141.75 and 26,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,141.75 : 26,011.50 = 26,011.50 : x
2. Step 2: Convert to fraction form
   12,141.75/26,011.50 = 26,011.50/x
3. Step 3: Cross multiply
   12,141.75x = 26,011.50 × 26,011.50
4. Step 4: Simplify right side
   12,141.75x = 676,598,132.25
5. Step 5: Solve for x
   x = 676,598,132.25/12,141.75
6. Step 6: Final answer
   x = 55,724.93