Finding the Third Proportional to 1,740.38 and 3,566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,740.38 : 3,566.25 = 3,566.25 : x
2. Step 2: Convert to fraction form
   1,740.38/3,566.25 = 3,566.25/x
3. Step 3: Cross multiply
   1,740.38x = 3,566.25 × 3,566.25
4. Step 4: Simplify right side
   1,740.38x = 12,718,139.06
5. Step 5: Solve for x
   x = 12,718,139.06/1,740.38
6. Step 6: Final answer
   x = 7,307.70