Finding the Third Proportional to 21,657 and 34,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,657 : 34,456.50 = 34,456.50 : x
2. Step 2: Convert to fraction form
   21,657/34,456.50 = 34,456.50/x
3. Step 3: Cross multiply
   21,657x = 34,456.50 × 34,456.50
4. Step 4: Simplify right side
   21,657x = 1,187,250,392.25
5. Step 5: Solve for x
   x = 1,187,250,392.25/21,657
6. Step 6: Final answer
   x = 54,820.63