Finding the Third Proportional to 13,374 and 20,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,374 : 20,377.50 = 20,377.50 : x
2. Step 2: Convert to fraction form
   13,374/20,377.50 = 20,377.50/x
3. Step 3: Cross multiply
   13,374x = 20,377.50 × 20,377.50
4. Step 4: Simplify right side
   13,374x = 415,242,506.25
5. Step 5: Solve for x
   x = 415,242,506.25/13,374
6. Step 6: Final answer
   x = 31,048.49