Finding the Third Proportional to 20,219 and 32,051

Step by Step Solution

1. Step 1: Write the proportion equation
   20,219 : 32,051 = 32,051 : x
2. Step 2: Convert to fraction form
   20,219/32,051 = 32,051/x
3. Step 3: Cross multiply
   20,219x = 32,051 × 32,051
4. Step 4: Simplify right side
   20,219x = 1,027,266,601
5. Step 5: Solve for x
   x = 1,027,266,601/20,219
6. Step 6: Final answer
   x = 50,806.99