Finding the Third Proportional to 21,740 and 32,596

Step by Step Solution

1. Step 1: Write the proportion equation
   21,740 : 32,596 = 32,596 : x
2. Step 2: Convert to fraction form
   21,740/32,596 = 32,596/x
3. Step 3: Cross multiply
   21,740x = 32,596 × 32,596
4. Step 4: Simplify right side
   21,740x = 1,062,499,216
5. Step 5: Solve for x
   x = 1,062,499,216/21,740
6. Step 6: Final answer
   x = 48,873.01