Finding the Third Proportional to 12,096 and 26,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 26,080.50 = 26,080.50 : x
2. Step 2: Convert to fraction form
   12,096/26,080.50 = 26,080.50/x
3. Step 3: Cross multiply
   12,096x = 26,080.50 × 26,080.50
4. Step 4: Simplify right side
   12,096x = 680,192,480.25
5. Step 5: Solve for x
   x = 680,192,480.25/12,096
6. Step 6: Final answer
   x = 56,232.84