Finding the Third Proportional to 1,561.50 and 2,089.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.50 : 2,089.13 = 2,089.13 : x
2. Step 2: Convert to fraction form
   1,561.50/2,089.13 = 2,089.13/x
3. Step 3: Cross multiply
   1,561.50x = 2,089.13 × 2,089.13
4. Step 4: Simplify right side
   1,561.50x = 4,364,443.27
5. Step 5: Solve for x
   x = 4,364,443.27/1,561.50
6. Step 6: Final answer
   x = 2,795.03