Finding the Third Proportional to 2,569.50 and 2,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 2,932.50 = 2,932.50 : x
2. Step 2: Convert to fraction form
   2,569.50/2,932.50 = 2,932.50/x
3. Step 3: Cross multiply
   2,569.50x = 2,932.50 × 2,932.50
4. Step 4: Simplify right side
   2,569.50x = 8,599,556.25
5. Step 5: Solve for x
   x = 8,599,556.25/2,569.50
6. Step 6: Final answer
   x = 3,346.78