Finding the Third Proportional to 1,065.02 and 1,634.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.02 : 1,634.77 = 1,634.77 : x
2. Step 2: Convert to fraction form
   1,065.02/1,634.77 = 1,634.77/x
3. Step 3: Cross multiply
   1,065.02x = 1,634.77 × 1,634.77
4. Step 4: Simplify right side
   1,065.02x = 2,672,458.65
5. Step 5: Solve for x
   x = 2,672,458.65/1,065.02
6. Step 6: Final answer
   x = 2,509.30