Finding the Third Proportional to 1,892.34 and 2,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.34 : 2,782.69 = 2,782.69 : x
2. Step 2: Convert to fraction form
   1,892.34/2,782.69 = 2,782.69/x
3. Step 3: Cross multiply
   1,892.34x = 2,782.69 × 2,782.69
4. Step 4: Simplify right side
   1,892.34x = 7,743,349.72
5. Step 5: Solve for x
   x = 7,743,349.72/1,892.34
6. Step 6: Final answer
   x = 4,091.94