Finding the Third Proportional to 34,085 and 71,302

Step by Step Solution

1. Step 1: Write the proportion equation
   34,085 : 71,302 = 71,302 : x
2. Step 2: Convert to fraction form
   34,085/71,302 = 71,302/x
3. Step 3: Cross multiply
   34,085x = 71,302 × 71,302
4. Step 4: Simplify right side
   34,085x = 5,083,975,204
5. Step 5: Solve for x
   x = 5,083,975,204/34,085
6. Step 6: Final answer
   x = 149,155.79