Finding the Third Proportional to 5,840.50 and 9,068.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,840.50 : 9,068.25 = 9,068.25 : x
2. Step 2: Convert to fraction form
   5,840.50/9,068.25 = 9,068.25/x
3. Step 3: Cross multiply
   5,840.50x = 9,068.25 × 9,068.25
4. Step 4: Simplify right side
   5,840.50x = 82,233,158.06
5. Step 5: Solve for x
   x = 82,233,158.06/5,840.50
6. Step 6: Final answer
   x = 14,079.81