Finding the Third Proportional to 1,137.80 and 1,460.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.80 : 1,460.32 = 1,460.32 : x
2. Step 2: Convert to fraction form
   1,137.80/1,460.32 = 1,460.32/x
3. Step 3: Cross multiply
   1,137.80x = 1,460.32 × 1,460.32
4. Step 4: Simplify right side
   1,137.80x = 2,132,535.42
5. Step 5: Solve for x
   x = 2,132,535.42/1,137.80
6. Step 6: Final answer
   x = 1,874.27