Finding the Third Proportional to 1,382.06 and 1,925.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.06 : 1,925.02 = 1,925.02 : x
2. Step 2: Convert to fraction form
   1,382.06/1,925.02 = 1,925.02/x
3. Step 3: Cross multiply
   1,382.06x = 1,925.02 × 1,925.02
4. Step 4: Simplify right side
   1,382.06x = 3,705,685.16
5. Step 5: Solve for x
   x = 3,705,685.16/1,382.06
6. Step 6: Final answer
   x = 2,681.27