Finding the Third Proportional to 2,193.75 and 2,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,193.75 : 2,978.25 = 2,978.25 : x
2. Step 2: Convert to fraction form
   2,193.75/2,978.25 = 2,978.25/x
3. Step 3: Cross multiply
   2,193.75x = 2,978.25 × 2,978.25
4. Step 4: Simplify right side
   2,193.75x = 8,869,973.06
5. Step 5: Solve for x
   x = 8,869,973.06/2,193.75
6. Step 6: Final answer
   x = 4,043.29