Finding the Third Proportional to 1,780.31 and 2,664.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.31 : 2,664.56 = 2,664.56 : x
2. Step 2: Convert to fraction form
   1,780.31/2,664.56 = 2,664.56/x
3. Step 3: Cross multiply
   1,780.31x = 2,664.56 × 2,664.56
4. Step 4: Simplify right side
   1,780.31x = 7,099,893.32
5. Step 5: Solve for x
   x = 7,099,893.32/1,780.31
6. Step 6: Final answer
   x = 3,988.00