Finding the Third Proportional to 1,848.81 and 2,792.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,848.81 : 2,792.55 = 2,792.55 : x
2. Step 2: Convert to fraction form
   1,848.81/2,792.55 = 2,792.55/x
3. Step 3: Cross multiply
   1,848.81x = 2,792.55 × 2,792.55
4. Step 4: Simplify right side
   1,848.81x = 7,798,328.96
5. Step 5: Solve for x
   x = 7,798,328.96/1,848.81
6. Step 6: Final answer
   x = 4,218.02