Finding the Third Proportional to 16,126 and 35,516

Step by Step Solution

1. Step 1: Write the proportion equation
   16,126 : 35,516 = 35,516 : x
2. Step 2: Convert to fraction form
   16,126/35,516 = 35,516/x
3. Step 3: Cross multiply
   16,126x = 35,516 × 35,516
4. Step 4: Simplify right side
   16,126x = 1,261,386,256
5. Step 5: Solve for x
   x = 1,261,386,256/16,126
6. Step 6: Final answer
   x = 78,220.65