Finding the Third Proportional to 35,642 and 72,148

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642 : 72,148 = 72,148 : x
2. Step 2: Convert to fraction form
   35,642/72,148 = 72,148/x
3. Step 3: Cross multiply
   35,642x = 72,148 × 72,148
4. Step 4: Simplify right side
   35,642x = 5,205,333,904
5. Step 5: Solve for x
   x = 5,205,333,904/35,642
6. Step 6: Final answer
   x = 146,044.94