Finding the Third Proportional to 2,535.19 and 5,108.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.19 : 5,108.06 = 5,108.06 : x
2. Step 2: Convert to fraction form
   2,535.19/5,108.06 = 5,108.06/x
3. Step 3: Cross multiply
   2,535.19x = 5,108.06 × 5,108.06
4. Step 4: Simplify right side
   2,535.19x = 26,092,302.50
5. Step 5: Solve for x
   x = 26,092,302.50/2,535.19
6. Step 6: Final answer
   x = 10,292.06