Finding the Third Proportional to 21,909 and 34,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,909 : 34,323.50 = 34,323.50 : x
2. Step 2: Convert to fraction form
   21,909/34,323.50 = 34,323.50/x
3. Step 3: Cross multiply
   21,909x = 34,323.50 × 34,323.50
4. Step 4: Simplify right side
   21,909x = 1,178,102,652.25
5. Step 5: Solve for x
   x = 1,178,102,652.25/21,909
6. Step 6: Final answer
   x = 53,772.54