Finding the Third Proportional to 4,693.78 and 7,026.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,693.78 : 7,026.05 = 7,026.05 : x
2. Step 2: Convert to fraction form
   4,693.78/7,026.05 = 7,026.05/x
3. Step 3: Cross multiply
   4,693.78x = 7,026.05 × 7,026.05
4. Step 4: Simplify right side
   4,693.78x = 49,365,334.69
5. Step 5: Solve for x
   x = 49,365,334.69/4,693.78
6. Step 6: Final answer
   x = 10,517.18