Finding the Third Proportional to 35,650 and 72,164

Step by Step Solution

1. Step 1: Write the proportion equation
   35,650 : 72,164 = 72,164 : x
2. Step 2: Convert to fraction form
   35,650/72,164 = 72,164/x
3. Step 3: Cross multiply
   35,650x = 72,164 × 72,164
4. Step 4: Simplify right side
   35,650x = 5,207,642,896
5. Step 5: Solve for x
   x = 5,207,642,896/35,650
6. Step 6: Final answer
   x = 146,076.94