Finding the Third Proportional to 1,111.13 and 1,460.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.13 : 1,460.81 = 1,460.81 : x
2. Step 2: Convert to fraction form
   1,111.13/1,460.81 = 1,460.81/x
3. Step 3: Cross multiply
   1,111.13x = 1,460.81 × 1,460.81
4. Step 4: Simplify right side
   1,111.13x = 2,133,973.16
5. Step 5: Solve for x
   x = 2,133,973.16/1,111.13
6. Step 6: Final answer
   x = 1,920.55