Finding the Third Proportional to 1,070.72 and 1,601.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,070.72 : 1,601.65 = 1,601.65 : x
2. Step 2: Convert to fraction form
   1,070.72/1,601.65 = 1,601.65/x
3. Step 3: Cross multiply
   1,070.72x = 1,601.65 × 1,601.65
4. Step 4: Simplify right side
   1,070.72x = 2,565,277.72
5. Step 5: Solve for x
   x = 2,565,277.72/1,070.72
6. Step 6: Final answer
   x = 2,395.85