Finding the Third Proportional to 1,209 and 1,777.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209 : 1,777.88 = 1,777.88 : x
2. Step 2: Convert to fraction form
   1,209/1,777.88 = 1,777.88/x
3. Step 3: Cross multiply
   1,209x = 1,777.88 × 1,777.88
4. Step 4: Simplify right side
   1,209x = 3,160,839.52
5. Step 5: Solve for x
   x = 3,160,839.52/1,209
6. Step 6: Final answer
   x = 2,614.42