Finding the Third Proportional to 5,783.91 and 7,838.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.91 : 7,838.02 = 7,838.02 : x
2. Step 2: Convert to fraction form
   5,783.91/7,838.02 = 7,838.02/x
3. Step 3: Cross multiply
   5,783.91x = 7,838.02 × 7,838.02
4. Step 4: Simplify right side
   5,783.91x = 61,434,488.94
5. Step 5: Solve for x
   x = 61,434,488.94/5,783.91
6. Step 6: Final answer
   x = 10,621.63