Finding the Third Proportional to 1,256.77 and 1,932.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.77 : 1,932.61 = 1,932.61 : x
2. Step 2: Convert to fraction form
   1,256.77/1,932.61 = 1,932.61/x
3. Step 3: Cross multiply
   1,256.77x = 1,932.61 × 1,932.61
4. Step 4: Simplify right side
   1,256.77x = 3,734,979.00
5. Step 5: Solve for x
   x = 3,734,979.00/1,256.77
6. Step 6: Final answer
   x = 2,971.90