Finding the Third Proportional to 35,646 and 72,156

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646 : 72,156 = 72,156 : x
2. Step 2: Convert to fraction form
   35,646/72,156 = 72,156/x
3. Step 3: Cross multiply
   35,646x = 72,156 × 72,156
4. Step 4: Simplify right side
   35,646x = 5,206,488,336
5. Step 5: Solve for x
   x = 5,206,488,336/35,646
6. Step 6: Final answer
   x = 146,060.94