Finding the Third Proportional to 14,338 and 22,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,338 : 22,357.50 = 22,357.50 : x
2. Step 2: Convert to fraction form
   14,338/22,357.50 = 22,357.50/x
3. Step 3: Cross multiply
   14,338x = 22,357.50 × 22,357.50
4. Step 4: Simplify right side
   14,338x = 499,857,806.25
5. Step 5: Solve for x
   x = 499,857,806.25/14,338
6. Step 6: Final answer
   x = 34,862.45