Finding the Third Proportional to 3,796.88 and 5,108.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.88 : 5,108.06 = 5,108.06 : x
2. Step 2: Convert to fraction form
   3,796.88/5,108.06 = 5,108.06/x
3. Step 3: Cross multiply
   3,796.88x = 5,108.06 × 5,108.06
4. Step 4: Simplify right side
   3,796.88x = 26,092,302.50
5. Step 5: Solve for x
   x = 26,092,302.50/3,796.88
6. Step 6: Final answer
   x = 6,872.05