Finding the Third Proportional to 3,422 and 7,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,422 : 7,377.50 = 7,377.50 : x
2. Step 2: Convert to fraction form
   3,422/7,377.50 = 7,377.50/x
3. Step 3: Cross multiply
   3,422x = 7,377.50 × 7,377.50
4. Step 4: Simplify right side
   3,422x = 54,427,506.25
5. Step 5: Solve for x
   x = 54,427,506.25/3,422
6. Step 6: Final answer
   x = 15,905.17