Finding the Third Proportional to 34,674 and 77,136

Step by Step Solution

1. Step 1: Write the proportion equation
   34,674 : 77,136 = 77,136 : x
2. Step 2: Convert to fraction form
   34,674/77,136 = 77,136/x
3. Step 3: Cross multiply
   34,674x = 77,136 × 77,136
4. Step 4: Simplify right side
   34,674x = 5,949,962,496
5. Step 5: Solve for x
   x = 5,949,962,496/34,674
6. Step 6: Final answer
   x = 171,597.23