Finding the Third Proportional to 12,097.50 and 26,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097.50 : 26,581.50 = 26,581.50 : x
2. Step 2: Convert to fraction form
   12,097.50/26,581.50 = 26,581.50/x
3. Step 3: Cross multiply
   12,097.50x = 26,581.50 × 26,581.50
4. Step 4: Simplify right side
   12,097.50x = 706,576,142.25
5. Step 5: Solve for x
   x = 706,576,142.25/12,097.50
6. Step 6: Final answer
   x = 58,406.79