Finding the Third Proportional to 1,761 and 2,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,761 : 2,335.50 = 2,335.50 : x
2. Step 2: Convert to fraction form
   1,761/2,335.50 = 2,335.50/x
3. Step 3: Cross multiply
   1,761x = 2,335.50 × 2,335.50
4. Step 4: Simplify right side
   1,761x = 5,454,560.25
5. Step 5: Solve for x
   x = 5,454,560.25/1,761
6. Step 6: Final answer
   x = 3,097.42