Finding the Third Proportional to 1,381.50 and 2,142.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.50 : 2,142.28 = 2,142.28 : x
2. Step 2: Convert to fraction form
   1,381.50/2,142.28 = 2,142.28/x
3. Step 3: Cross multiply
   1,381.50x = 2,142.28 × 2,142.28
4. Step 4: Simplify right side
   1,381.50x = 4,589,368.95
5. Step 5: Solve for x
   x = 4,589,368.95/1,381.50
6. Step 6: Final answer
   x = 3,322.02