Finding the Third Proportional to 3,773.25 and 5,889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,773.25 : 5,889.38 = 5,889.38 : x
2. Step 2: Convert to fraction form
   3,773.25/5,889.38 = 5,889.38/x
3. Step 3: Cross multiply
   3,773.25x = 5,889.38 × 5,889.38
4. Step 4: Simplify right side
   3,773.25x = 34,684,737.89
5. Step 5: Solve for x
   x = 34,684,737.89/3,773.25
6. Step 6: Final answer
   x = 9,192.27