Finding the Third Proportional to 35,655 and 72,174

Step by Step Solution

1. Step 1: Write the proportion equation
   35,655 : 72,174 = 72,174 : x
2. Step 2: Convert to fraction form
   35,655/72,174 = 72,174/x
3. Step 3: Cross multiply
   35,655x = 72,174 × 72,174
4. Step 4: Simplify right side
   35,655x = 5,209,086,276
5. Step 5: Solve for x
   x = 5,209,086,276/35,655
6. Step 6: Final answer
   x = 146,096.94