Finding the Third Proportional to 16,526 and 34,389

Step by Step Solution

1. Step 1: Write the proportion equation
   16,526 : 34,389 = 34,389 : x
2. Step 2: Convert to fraction form
   16,526/34,389 = 34,389/x
3. Step 3: Cross multiply
   16,526x = 34,389 × 34,389
4. Step 4: Simplify right side
   16,526x = 1,182,603,321
5. Step 5: Solve for x
   x = 1,182,603,321/16,526
6. Step 6: Final answer
   x = 71,560.17