Finding the Third Proportional to 2,422 and 5,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422 : 5,687.50 = 5,687.50 : x
2. Step 2: Convert to fraction form
   2,422/5,687.50 = 5,687.50/x
3. Step 3: Cross multiply
   2,422x = 5,687.50 × 5,687.50
4. Step 4: Simplify right side
   2,422x = 32,347,656.25
5. Step 5: Solve for x
   x = 32,347,656.25/2,422
6. Step 6: Final answer
   x = 13,355.76