Finding the Third Proportional to 13,813 and 21,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,813 : 21,196.50 = 21,196.50 : x
2. Step 2: Convert to fraction form
   13,813/21,196.50 = 21,196.50/x
3. Step 3: Cross multiply
   13,813x = 21,196.50 × 21,196.50
4. Step 4: Simplify right side
   13,813x = 449,291,612.25
5. Step 5: Solve for x
   x = 449,291,612.25/13,813
6. Step 6: Final answer
   x = 32,526.72