Finding the Third Proportional to 16,534 and 34,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,534 : 34,706 = 34,706 : x
2. Step 2: Convert to fraction form
   16,534/34,706 = 34,706/x
3. Step 3: Cross multiply
   16,534x = 34,706 × 34,706
4. Step 4: Simplify right side
   16,534x = 1,204,506,436
5. Step 5: Solve for x
   x = 1,204,506,436/16,534
6. Step 6: Final answer
   x = 72,850.27