Finding the Third Proportional to 1,054.13 and 1,406.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.13 : 1,406.81 = 1,406.81 : x
2. Step 2: Convert to fraction form
   1,054.13/1,406.81 = 1,406.81/x
3. Step 3: Cross multiply
   1,054.13x = 1,406.81 × 1,406.81
4. Step 4: Simplify right side
   1,054.13x = 1,979,121.41
5. Step 5: Solve for x
   x = 1,979,121.41/1,054.13
6. Step 6: Final answer
   x = 1,877.50