Finding the Third Proportional to 34,338 and 72,368

Step by Step Solution

1. Step 1: Write the proportion equation
   34,338 : 72,368 = 72,368 : x
2. Step 2: Convert to fraction form
   34,338/72,368 = 72,368/x
3. Step 3: Cross multiply
   34,338x = 72,368 × 72,368
4. Step 4: Simplify right side
   34,338x = 5,237,127,424
5. Step 5: Solve for x
   x = 5,237,127,424/34,338
6. Step 6: Final answer
   x = 152,516.96