Finding the Third Proportional to 1,147.88 and 1,635.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.88 : 1,635.94 = 1,635.94 : x
2. Step 2: Convert to fraction form
   1,147.88/1,635.94 = 1,635.94/x
3. Step 3: Cross multiply
   1,147.88x = 1,635.94 × 1,635.94
4. Step 4: Simplify right side
   1,147.88x = 2,676,291.50
5. Step 5: Solve for x
   x = 2,676,291.50/1,147.88
6. Step 6: Final answer
   x = 2,331.52