Finding the Third Proportional to 21,900 and 33,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,900 : 33,978.50 = 33,978.50 : x
2. Step 2: Convert to fraction form
   21,900/33,978.50 = 33,978.50/x
3. Step 3: Cross multiply
   21,900x = 33,978.50 × 33,978.50
4. Step 4: Simplify right side
   21,900x = 1,154,538,462.25
5. Step 5: Solve for x
   x = 1,154,538,462.25/21,900
6. Step 6: Final answer
   x = 52,718.65