Finding the Third Proportional to 5,850 and 7,941.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,850 : 7,941.38 = 7,941.38 : x
2. Step 2: Convert to fraction form
   5,850/7,941.38 = 7,941.38/x
3. Step 3: Cross multiply
   5,850x = 7,941.38 × 7,941.38
4. Step 4: Simplify right side
   5,850x = 63,065,436.89
5. Step 5: Solve for x
   x = 63,065,436.89/5,850
6. Step 6: Final answer
   x = 10,780.42