Finding the Third Proportional to 2,787 and 4,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,787 : 4,642.50 = 4,642.50 : x
2. Step 2: Convert to fraction form
   2,787/4,642.50 = 4,642.50/x
3. Step 3: Cross multiply
   2,787x = 4,642.50 × 4,642.50
4. Step 4: Simplify right side
   2,787x = 21,552,806.25
5. Step 5: Solve for x
   x = 21,552,806.25/2,787
6. Step 6: Final answer
   x = 7,733.34