Finding the Third Proportional to 21,585 and 32,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,585 : 32,825.50 = 32,825.50 : x
2. Step 2: Convert to fraction form
   21,585/32,825.50 = 32,825.50/x
3. Step 3: Cross multiply
   21,585x = 32,825.50 × 32,825.50
4. Step 4: Simplify right side
   21,585x = 1,077,513,450.25
5. Step 5: Solve for x
   x = 1,077,513,450.25/21,585
6. Step 6: Final answer
   x = 49,919.55