Finding the Third Proportional to 13,648.50 and 21,377.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.50 : 21,377.25 = 21,377.25 : x
2. Step 2: Convert to fraction form
   13,648.50/21,377.25 = 21,377.25/x
3. Step 3: Cross multiply
   13,648.50x = 21,377.25 × 21,377.25
4. Step 4: Simplify right side
   13,648.50x = 456,986,817.56
5. Step 5: Solve for x
   x = 456,986,817.56/13,648.50
6. Step 6: Final answer
   x = 33,482.57