Finding the Third Proportional to 13,917 and 21,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,917 : 21,523.50 = 21,523.50 : x
2. Step 2: Convert to fraction form
   13,917/21,523.50 = 21,523.50/x
3. Step 3: Cross multiply
   13,917x = 21,523.50 × 21,523.50
4. Step 4: Simplify right side
   13,917x = 463,261,052.25
5. Step 5: Solve for x
   x = 463,261,052.25/13,917
6. Step 6: Final answer
   x = 33,287.42