Finding the Third Proportional to 34,452 and 75,222

Step by Step Solution

1. Step 1: Write the proportion equation
   34,452 : 75,222 = 75,222 : x
2. Step 2: Convert to fraction form
   34,452/75,222 = 75,222/x
3. Step 3: Cross multiply
   34,452x = 75,222 × 75,222
4. Step 4: Simplify right side
   34,452x = 5,658,349,284
5. Step 5: Solve for x
   x = 5,658,349,284/34,452
6. Step 6: Final answer
   x = 164,238.63