Finding the Third Proportional to 13,745.25 and 21,438.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,745.25 : 21,438.56 = 21,438.56 : x
2. Step 2: Convert to fraction form
   13,745.25/21,438.56 = 21,438.56/x
3. Step 3: Cross multiply
   13,745.25x = 21,438.56 × 21,438.56
4. Step 4: Simplify right side
   13,745.25x = 459,611,962.07
5. Step 5: Solve for x
   x = 459,611,962.07/13,745.25
6. Step 6: Final answer
   x = 33,437.88