Finding the Third Proportional to 1,011.23 and 1,561.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.23 : 1,561.78 = 1,561.78 : x
2. Step 2: Convert to fraction form
   1,011.23/1,561.78 = 1,561.78/x
3. Step 3: Cross multiply
   1,011.23x = 1,561.78 × 1,561.78
4. Step 4: Simplify right side
   1,011.23x = 2,439,160.67
5. Step 5: Solve for x
   x = 2,439,160.67/1,011.23
6. Step 6: Final answer
   x = 2,412.06