Finding the Third Proportional to 34,349 and 72,389

Step by Step Solution

1. Step 1: Write the proportion equation
   34,349 : 72,389 = 72,389 : x
2. Step 2: Convert to fraction form
   34,349/72,389 = 72,389/x
3. Step 3: Cross multiply
   34,349x = 72,389 × 72,389
4. Step 4: Simplify right side
   34,349x = 5,240,167,321
5. Step 5: Solve for x
   x = 5,240,167,321/34,349
6. Step 6: Final answer
   x = 152,556.62