Finding the Third Proportional to 1,561.78 and 2,411.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.78 : 2,411.02 = 2,411.02 : x
2. Step 2: Convert to fraction form
   1,561.78/2,411.02 = 2,411.02/x
3. Step 3: Cross multiply
   1,561.78x = 2,411.02 × 2,411.02
4. Step 4: Simplify right side
   1,561.78x = 5,812,996.34
5. Step 5: Solve for x
   x = 5,812,996.34/1,561.78
6. Step 6: Final answer
   x = 3,722.03