Finding the Third Proportional to 34,776 and 50,706

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 50,706 = 50,706 : x
2. Step 2: Convert to fraction form
   34,776/50,706 = 50,706/x
3. Step 3: Cross multiply
   34,776x = 50,706 × 50,706
4. Step 4: Simplify right side
   34,776x = 2,571,098,436
5. Step 5: Solve for x
   x = 2,571,098,436/34,776
6. Step 6: Final answer
   x = 73,933.13