Finding the Third Proportional to 1,892.50 and 4,145

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.50 : 4,145 = 4,145 : x
2. Step 2: Convert to fraction form
   1,892.50/4,145 = 4,145/x
3. Step 3: Cross multiply
   1,892.50x = 4,145 × 4,145
4. Step 4: Simplify right side
   1,892.50x = 17,181,025
5. Step 5: Solve for x
   x = 17,181,025/1,892.50
6. Step 6: Final answer
   x = 9,078.48