Finding the Third Proportional to 35,072 and 77,056

Step by Step Solution

1. Step 1: Write the proportion equation
   35,072 : 77,056 = 77,056 : x
2. Step 2: Convert to fraction form
   35,072/77,056 = 77,056/x
3. Step 3: Cross multiply
   35,072x = 77,056 × 77,056
4. Step 4: Simplify right side
   35,072x = 5,937,627,136
5. Step 5: Solve for x
   x = 5,937,627,136/35,072
6. Step 6: Final answer
   x = 169,298.22