Finding the Third Proportional to 3,747.38 and 5,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.38 : 5,828.06 = 5,828.06 : x
2. Step 2: Convert to fraction form
   3,747.38/5,828.06 = 5,828.06/x
3. Step 3: Cross multiply
   3,747.38x = 5,828.06 × 5,828.06
4. Step 4: Simplify right side
   3,747.38x = 33,966,312.50
5. Step 5: Solve for x
   x = 33,966,312.50/3,747.38
6. Step 6: Final answer
   x = 9,064.03