Finding the Third Proportional to 16,516 and 34,663

Step by Step Solution

1. Step 1: Write the proportion equation
   16,516 : 34,663 = 34,663 : x
2. Step 2: Convert to fraction form
   16,516/34,663 = 34,663/x
3. Step 3: Cross multiply
   16,516x = 34,663 × 34,663
4. Step 4: Simplify right side
   16,516x = 1,201,523,569
5. Step 5: Solve for x
   x = 1,201,523,569/16,516
6. Step 6: Final answer
   x = 72,749.07