Finding the Third Proportional to 16,406 and 38,516

Step by Step Solution

1. Step 1: Write the proportion equation
   16,406 : 38,516 = 38,516 : x
2. Step 2: Convert to fraction form
   16,406/38,516 = 38,516/x
3. Step 3: Cross multiply
   16,406x = 38,516 × 38,516
4. Step 4: Simplify right side
   16,406x = 1,483,482,256
5. Step 5: Solve for x
   x = 1,483,482,256/16,406
6. Step 6: Final answer
   x = 90,423.15