Finding the Third Proportional to 35,822 and 72,344

Step by Step Solution

1. Step 1: Write the proportion equation
   35,822 : 72,344 = 72,344 : x
2. Step 2: Convert to fraction form
   35,822/72,344 = 72,344/x
3. Step 3: Cross multiply
   35,822x = 72,344 × 72,344
4. Step 4: Simplify right side
   35,822x = 5,233,654,336
5. Step 5: Solve for x
   x = 5,233,654,336/35,822
6. Step 6: Final answer
   x = 146,101.68