Finding the Third Proportional to 1,168.88 and 1,634.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,168.88 : 1,634.81 = 1,634.81 : x
2. Step 2: Convert to fraction form
   1,168.88/1,634.81 = 1,634.81/x
3. Step 3: Cross multiply
   1,168.88x = 1,634.81 × 1,634.81
4. Step 4: Simplify right side
   1,168.88x = 2,672,611.91
5. Step 5: Solve for x
   x = 2,672,611.91/1,168.88
6. Step 6: Final answer
   x = 2,286.48