Finding the Third Proportional to 21,568 and 32,219

Step by Step Solution

1. Step 1: Write the proportion equation
   21,568 : 32,219 = 32,219 : x
2. Step 2: Convert to fraction form
   21,568/32,219 = 32,219/x
3. Step 3: Cross multiply
   21,568x = 32,219 × 32,219
4. Step 4: Simplify right side
   21,568x = 1,038,063,961
5. Step 5: Solve for x
   x = 1,038,063,961/21,568
6. Step 6: Final answer
   x = 48,129.82