Finding the Third Proportional to 10,366 and 26,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 26,581.50 = 26,581.50 : x
2. Step 2: Convert to fraction form
   10,366/26,581.50 = 26,581.50/x
3. Step 3: Cross multiply
   10,366x = 26,581.50 × 26,581.50
4. Step 4: Simplify right side
   10,366x = 706,576,142.25
5. Step 5: Solve for x
   x = 706,576,142.25/10,366
6. Step 6: Final answer
   x = 68,162.85