Finding the Third Proportional to 21,511 and 32,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,511 : 32,590.50 = 32,590.50 : x
2. Step 2: Convert to fraction form
   21,511/32,590.50 = 32,590.50/x
3. Step 3: Cross multiply
   21,511x = 32,590.50 × 32,590.50
4. Step 4: Simplify right side
   21,511x = 1,062,140,690.25
5. Step 5: Solve for x
   x = 1,062,140,690.25/21,511
6. Step 6: Final answer
   x = 49,376.63