Finding the Third Proportional to 3,753.75 and 5,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,753.75 : 5,838.50 = 5,838.50 : x
2. Step 2: Convert to fraction form
   3,753.75/5,838.50 = 5,838.50/x
3. Step 3: Cross multiply
   3,753.75x = 5,838.50 × 5,838.50
4. Step 4: Simplify right side
   3,753.75x = 34,088,082.25
5. Step 5: Solve for x
   x = 34,088,082.25/3,753.75
6. Step 6: Final answer
   x = 9,081.07