Finding the Third Proportional to 13,820 and 21,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820 : 21,436.50 = 21,436.50 : x
2. Step 2: Convert to fraction form
   13,820/21,436.50 = 21,436.50/x
3. Step 3: Cross multiply
   13,820x = 21,436.50 × 21,436.50
4. Step 4: Simplify right side
   13,820x = 459,523,532.25
5. Step 5: Solve for x
   x = 459,523,532.25/13,820
6. Step 6: Final answer
   x = 33,250.62