Finding the Third Proportional to 2,535.05 and 5,461.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.05 : 5,461.17 = 5,461.17 : x
2. Step 2: Convert to fraction form
   2,535.05/5,461.17 = 5,461.17/x
3. Step 3: Cross multiply
   2,535.05x = 5,461.17 × 5,461.17
4. Step 4: Simplify right side
   2,535.05x = 29,824,398.25
5. Step 5: Solve for x
   x = 29,824,398.25/2,535.05
6. Step 6: Final answer
   x = 11,764.83