Finding the Third Proportional to 1,920 and 2,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,920 : 2,816.50 = 2,816.50 : x
2. Step 2: Convert to fraction form
   1,920/2,816.50 = 2,816.50/x
3. Step 3: Cross multiply
   1,920x = 2,816.50 × 2,816.50
4. Step 4: Simplify right side
   1,920x = 7,932,672.25
5. Step 5: Solve for x
   x = 7,932,672.25/1,920
6. Step 6: Final answer
   x = 4,131.60