Finding the Third Proportional to 1,855.88 and 2,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.88 : 2,959.50 = 2,959.50 : x
2. Step 2: Convert to fraction form
   1,855.88/2,959.50 = 2,959.50/x
3. Step 3: Cross multiply
   1,855.88x = 2,959.50 × 2,959.50
4. Step 4: Simplify right side
   1,855.88x = 8,758,640.25
5. Step 5: Solve for x
   x = 8,758,640.25/1,855.88
6. Step 6: Final answer
   x = 4,719.41