Finding the Third Proportional to 769 and 1,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   769 : 1,627.50 = 1,627.50 : x
2. Step 2: Convert to fraction form
   769/1,627.50 = 1,627.50/x
3. Step 3: Cross multiply
   769x = 1,627.50 × 1,627.50
4. Step 4: Simplify right side
   769x = 2,648,756.25
5. Step 5: Solve for x
   x = 2,648,756.25/769
6. Step 6: Final answer
   x = 3,444.42