Finding the Third Proportional to 20,562 and 32,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,562 : 32,689.50 = 32,689.50 : x
2. Step 2: Convert to fraction form
   20,562/32,689.50 = 32,689.50/x
3. Step 3: Cross multiply
   20,562x = 32,689.50 × 32,689.50
4. Step 4: Simplify right side
   20,562x = 1,068,603,410.25
5. Step 5: Solve for x
   x = 1,068,603,410.25/20,562
6. Step 6: Final answer
   x = 51,969.82