Finding the Third Proportional to 21,647.50 and 32,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,647.50 : 32,534.50 = 32,534.50 : x
2. Step 2: Convert to fraction form
   21,647.50/32,534.50 = 32,534.50/x
3. Step 3: Cross multiply
   21,647.50x = 32,534.50 × 32,534.50
4. Step 4: Simplify right side
   21,647.50x = 1,058,493,690.25
5. Step 5: Solve for x
   x = 1,058,493,690.25/21,647.50
6. Step 6: Final answer
   x = 48,896.81