Finding the Third Proportional to 13,882.50 and 20,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,882.50 : 20,738.25 = 20,738.25 : x
2. Step 2: Convert to fraction form
   13,882.50/20,738.25 = 20,738.25/x
3. Step 3: Cross multiply
   13,882.50x = 20,738.25 × 20,738.25
4. Step 4: Simplify right side
   13,882.50x = 430,075,013.06
5. Step 5: Solve for x
   x = 430,075,013.06/13,882.50
6. Step 6: Final answer
   x = 30,979.65