Finding the Third Proportional to 34,339 and 72,369

Step by Step Solution

1. Step 1: Write the proportion equation
   34,339 : 72,369 = 72,369 : x
2. Step 2: Convert to fraction form
   34,339/72,369 = 72,369/x
3. Step 3: Cross multiply
   34,339x = 72,369 × 72,369
4. Step 4: Simplify right side
   34,339x = 5,237,272,161
5. Step 5: Solve for x
   x = 5,237,272,161/34,339
6. Step 6: Final answer
   x = 152,516.73