Finding the Third Proportional to 34,111 and 72,338

Step by Step Solution

1. Step 1: Write the proportion equation
   34,111 : 72,338 = 72,338 : x
2. Step 2: Convert to fraction form
   34,111/72,338 = 72,338/x
3. Step 3: Cross multiply
   34,111x = 72,338 × 72,338
4. Step 4: Simplify right side
   34,111x = 5,232,786,244
5. Step 5: Solve for x
   x = 5,232,786,244/34,111
6. Step 6: Final answer
   x = 153,404.66