Finding the Third Proportional to 34,389 and 75,258

Step by Step Solution

1. Step 1: Write the proportion equation
   34,389 : 75,258 = 75,258 : x
2. Step 2: Convert to fraction form
   34,389/75,258 = 75,258/x
3. Step 3: Cross multiply
   34,389x = 75,258 × 75,258
4. Step 4: Simplify right side
   34,389x = 5,663,766,564
5. Step 5: Solve for x
   x = 5,663,766,564/34,389
6. Step 6: Final answer
   x = 164,697.04