Finding the Third Proportional to 21,690 and 32,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,690 : 32,449.50 = 32,449.50 : x
2. Step 2: Convert to fraction form
   21,690/32,449.50 = 32,449.50/x
3. Step 3: Cross multiply
   21,690x = 32,449.50 × 32,449.50
4. Step 4: Simplify right side
   21,690x = 1,052,970,050.25
5. Step 5: Solve for x
   x = 1,052,970,050.25/21,690
6. Step 6: Final answer
   x = 48,546.34