Finding the Third Proportional to 13,314 and 20,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,314 : 20,698.50 = 20,698.50 : x
2. Step 2: Convert to fraction form
   13,314/20,698.50 = 20,698.50/x
3. Step 3: Cross multiply
   13,314x = 20,698.50 × 20,698.50
4. Step 4: Simplify right side
   13,314x = 428,427,902.25
5. Step 5: Solve for x
   x = 428,427,902.25/13,314
6. Step 6: Final answer
   x = 32,178.75