Finding the Third Proportional to 13,921 and 21,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,921 : 21,322.50 = 21,322.50 : x
2. Step 2: Convert to fraction form
   13,921/21,322.50 = 21,322.50/x
3. Step 3: Cross multiply
   13,921x = 21,322.50 × 21,322.50
4. Step 4: Simplify right side
   13,921x = 454,649,006.25
5. Step 5: Solve for x
   x = 454,649,006.25/13,921
6. Step 6: Final answer
   x = 32,659.22