Finding the Third Proportional to 16,516 and 35,624

Step by Step Solution

1. Step 1: Write the proportion equation
   16,516 : 35,624 = 35,624 : x
2. Step 2: Convert to fraction form
   16,516/35,624 = 35,624/x
3. Step 3: Cross multiply
   16,516x = 35,624 × 35,624
4. Step 4: Simplify right side
   16,516x = 1,269,069,376
5. Step 5: Solve for x
   x = 1,269,069,376/16,516
6. Step 6: Final answer
   x = 76,838.79