Finding the Third Proportional to 21,962 and 42,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,962 : 42,819.50 = 42,819.50 : x
2. Step 2: Convert to fraction form
   21,962/42,819.50 = 42,819.50/x
3. Step 3: Cross multiply
   21,962x = 42,819.50 × 42,819.50
4. Step 4: Simplify right side
   21,962x = 1,833,509,580.25
5. Step 5: Solve for x
   x = 1,833,509,580.25/21,962
6. Step 6: Final answer
   x = 83,485.55