Finding the Third Proportional to 1,263.75 and 1,885.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,263.75 : 1,885.88 = 1,885.88 : x
2. Step 2: Convert to fraction form
   1,263.75/1,885.88 = 1,885.88/x
3. Step 3: Cross multiply
   1,263.75x = 1,885.88 × 1,885.88
4. Step 4: Simplify right side
   1,263.75x = 3,556,524.52
5. Step 5: Solve for x
   x = 3,556,524.52/1,263.75
6. Step 6: Final answer
   x = 2,814.26