Finding the Third Proportional to 21,772 and 32,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,772 : 32,573.50 = 32,573.50 : x
2. Step 2: Convert to fraction form
   21,772/32,573.50 = 32,573.50/x
3. Step 3: Cross multiply
   21,772x = 32,573.50 × 32,573.50
4. Step 4: Simplify right side
   21,772x = 1,061,032,902.25
5. Step 5: Solve for x
   x = 1,061,032,902.25/21,772
6. Step 6: Final answer
   x = 48,733.83