Finding the Third Proportional to 13,374.63 and 20,698.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,374.63 : 20,698.38 = 20,698.38 : x
2. Step 2: Convert to fraction form
   13,374.63/20,698.38 = 20,698.38/x
3. Step 3: Cross multiply
   13,374.63x = 20,698.38 × 20,698.38
4. Step 4: Simplify right side
   13,374.63x = 428,422,727.64
5. Step 5: Solve for x
   x = 428,422,727.64/13,374.63
6. Step 6: Final answer
   x = 32,032.50