Finding the Third Proportional to 1,978.13 and 2,783.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.13 : 2,783.06 = 2,783.06 : x
2. Step 2: Convert to fraction form
   1,978.13/2,783.06 = 2,783.06/x
3. Step 3: Cross multiply
   1,978.13x = 2,783.06 × 2,783.06
4. Step 4: Simplify right side
   1,978.13x = 7,745,436.88
5. Step 5: Solve for x
   x = 7,745,436.88/1,978.13
6. Step 6: Final answer
   x = 3,915.54