Finding the Third Proportional to 35,968 and 73,362

Step by Step Solution

1. Step 1: Write the proportion equation
   35,968 : 73,362 = 73,362 : x
2. Step 2: Convert to fraction form
   35,968/73,362 = 73,362/x
3. Step 3: Cross multiply
   35,968x = 73,362 × 73,362
4. Step 4: Simplify right side
   35,968x = 5,381,983,044
5. Step 5: Solve for x
   x = 5,381,983,044/35,968
6. Step 6: Final answer
   x = 149,632.54