Finding the Third Proportional to 1,159.95 and 1,630.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.95 : 1,630.76 = 1,630.76 : x
2. Step 2: Convert to fraction form
   1,159.95/1,630.76 = 1,630.76/x
3. Step 3: Cross multiply
   1,159.95x = 1,630.76 × 1,630.76
4. Step 4: Simplify right side
   1,159.95x = 2,659,371.04
5. Step 5: Solve for x
   x = 2,659,371.04/1,159.95
6. Step 6: Final answer
   x = 2,292.67