Finding the Third Proportional to 1,892.25 and 4,009.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.25 : 4,009.88 = 4,009.88 : x
2. Step 2: Convert to fraction form
   1,892.25/4,009.88 = 4,009.88/x
3. Step 3: Cross multiply
   1,892.25x = 4,009.88 × 4,009.88
4. Step 4: Simplify right side
   1,892.25x = 16,079,097.52
5. Step 5: Solve for x
   x = 16,079,097.52/1,892.25
6. Step 6: Final answer
   x = 8,497.34