Finding the Third Proportional to 21,909 and 32,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,909 : 32,826.50 = 32,826.50 : x
2. Step 2: Convert to fraction form
   21,909/32,826.50 = 32,826.50/x
3. Step 3: Cross multiply
   21,909x = 32,826.50 × 32,826.50
4. Step 4: Simplify right side
   21,909x = 1,077,579,102.25
5. Step 5: Solve for x
   x = 1,077,579,102.25/21,909
6. Step 6: Final answer
   x = 49,184.31