Finding the Third Proportional to 1,292 and 1,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292 : 1,779.50 = 1,779.50 : x
2. Step 2: Convert to fraction form
   1,292/1,779.50 = 1,779.50/x
3. Step 3: Cross multiply
   1,292x = 1,779.50 × 1,779.50
4. Step 4: Simplify right side
   1,292x = 3,166,620.25
5. Step 5: Solve for x
   x = 3,166,620.25/1,292
6. Step 6: Final answer
   x = 2,450.94