Finding the Third Proportional to 35,210 and 76,516

Step by Step Solution

1. Step 1: Write the proportion equation
   35,210 : 76,516 = 76,516 : x
2. Step 2: Convert to fraction form
   35,210/76,516 = 76,516/x
3. Step 3: Cross multiply
   35,210x = 76,516 × 76,516
4. Step 4: Simplify right side
   35,210x = 5,854,698,256
5. Step 5: Solve for x
   x = 5,854,698,256/35,210
6. Step 6: Final answer
   x = 166,279.42