Finding the Third Proportional to 34,834 and 77,444

Step by Step Solution

1. Step 1: Write the proportion equation
   34,834 : 77,444 = 77,444 : x
2. Step 2: Convert to fraction form
   34,834/77,444 = 77,444/x
3. Step 3: Cross multiply
   34,834x = 77,444 × 77,444
4. Step 4: Simplify right side
   34,834x = 5,997,573,136
5. Step 5: Solve for x
   x = 5,997,573,136/34,834
6. Step 6: Final answer
   x = 172,175.84