Finding the Third Proportional to 13,758 and 21,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,758 : 21,357.50 = 21,357.50 : x
2. Step 2: Convert to fraction form
   13,758/21,357.50 = 21,357.50/x
3. Step 3: Cross multiply
   13,758x = 21,357.50 × 21,357.50
4. Step 4: Simplify right side
   13,758x = 456,142,806.25
5. Step 5: Solve for x
   x = 456,142,806.25/13,758
6. Step 6: Final answer
   x = 33,154.73