Finding the Third Proportional to 2,762 and 4,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,762 : 4,012.50 = 4,012.50 : x
2. Step 2: Convert to fraction form
   2,762/4,012.50 = 4,012.50/x
3. Step 3: Cross multiply
   2,762x = 4,012.50 × 4,012.50
4. Step 4: Simplify right side
   2,762x = 16,100,156.25
5. Step 5: Solve for x
   x = 16,100,156.25/2,762
6. Step 6: Final answer
   x = 5,829.17