Finding the Third Proportional to 1,235.25 and 1,876.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.25 : 1,876.88 = 1,876.88 : x
2. Step 2: Convert to fraction form
   1,235.25/1,876.88 = 1,876.88/x
3. Step 3: Cross multiply
   1,235.25x = 1,876.88 × 1,876.88
4. Step 4: Simplify right side
   1,235.25x = 3,522,659.77
5. Step 5: Solve for x
   x = 3,522,659.77/1,235.25
6. Step 6: Final answer
   x = 2,851.78