Finding the Third Proportional to 32,229 and 69,993

Step by Step Solution

1. Step 1: Write the proportion equation
   32,229 : 69,993 = 69,993 : x
2. Step 2: Convert to fraction form
   32,229/69,993 = 69,993/x
3. Step 3: Cross multiply
   32,229x = 69,993 × 69,993
4. Step 4: Simplify right side
   32,229x = 4,899,020,049
5. Step 5: Solve for x
   x = 4,899,020,049/32,229
6. Step 6: Final answer
   x = 152,006.58