Finding the Third Proportional to 10,798.50 and 26,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,798.50 : 26,266.50 = 26,266.50 : x
2. Step 2: Convert to fraction form
   10,798.50/26,266.50 = 26,266.50/x
3. Step 3: Cross multiply
   10,798.50x = 26,266.50 × 26,266.50
4. Step 4: Simplify right side
   10,798.50x = 689,929,022.25
5. Step 5: Solve for x
   x = 689,929,022.25/10,798.50
6. Step 6: Final answer
   x = 63,891.19