Finding the Third Proportional to 1,147.61 and 1,458.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.61 : 1,458.95 = 1,458.95 : x
2. Step 2: Convert to fraction form
   1,147.61/1,458.95 = 1,458.95/x
3. Step 3: Cross multiply
   1,147.61x = 1,458.95 × 1,458.95
4. Step 4: Simplify right side
   1,147.61x = 2,128,532.82
5. Step 5: Solve for x
   x = 2,128,532.82/1,147.61
6. Step 6: Final answer
   x = 1,854.76