Finding the Third Proportional to 779.48 and 1,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   779.48 : 1,705.50 = 1,705.50 : x
2. Step 2: Convert to fraction form
   779.48/1,705.50 = 1,705.50/x
3. Step 3: Cross multiply
   779.48x = 1,705.50 × 1,705.50
4. Step 4: Simplify right side
   779.48x = 2,908,730.25
5. Step 5: Solve for x
   x = 2,908,730.25/779.48
6. Step 6: Final answer
   x = 3,731.61