Finding the Third Proportional to 814.50 and 1,783.88

Step by Step Solution

1. Step 1: Write the proportion equation
   814.50 : 1,783.88 = 1,783.88 : x
2. Step 2: Convert to fraction form
   814.50/1,783.88 = 1,783.88/x
3. Step 3: Cross multiply
   814.50x = 1,783.88 × 1,783.88
4. Step 4: Simplify right side
   814.50x = 3,182,210.02
5. Step 5: Solve for x
   x = 3,182,210.02/814.50
6. Step 6: Final answer
   x = 3,906.95