Finding the Third Proportional to 1,381.50 and 2,156.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.50 : 2,156.25 = 2,156.25 : x
2. Step 2: Convert to fraction form
   1,381.50/2,156.25 = 2,156.25/x
3. Step 3: Cross multiply
   1,381.50x = 2,156.25 × 2,156.25
4. Step 4: Simplify right side
   1,381.50x = 4,649,414.06
5. Step 5: Solve for x
   x = 4,649,414.06/1,381.50
6. Step 6: Final answer
   x = 3,365.48