Finding the Third Proportional to 592.88 and 1,436.06

Step by Step Solution

1. Step 1: Write the proportion equation
   592.88 : 1,436.06 = 1,436.06 : x
2. Step 2: Convert to fraction form
   592.88/1,436.06 = 1,436.06/x
3. Step 3: Cross multiply
   592.88x = 1,436.06 × 1,436.06
4. Step 4: Simplify right side
   592.88x = 2,062,275.50
5. Step 5: Solve for x
   x = 2,062,275.50/592.88
6. Step 6: Final answer
   x = 3,478.43