Finding the Third Proportional to 1,561.78 and 3,423.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.78 : 3,423.09 = 3,423.09 : x
2. Step 2: Convert to fraction form
   1,561.78/3,423.09 = 3,423.09/x
3. Step 3: Cross multiply
   1,561.78x = 3,423.09 × 3,423.09
4. Step 4: Simplify right side
   1,561.78x = 11,717,570.82
5. Step 5: Solve for x
   x = 11,717,570.82/1,561.78
6. Step 6: Final answer
   x = 7,502.70