Finding the Third Proportional to 35,732 and 76,381

Step by Step Solution

1. Step 1: Write the proportion equation
   35,732 : 76,381 = 76,381 : x
2. Step 2: Convert to fraction form
   35,732/76,381 = 76,381/x
3. Step 3: Cross multiply
   35,732x = 76,381 × 76,381
4. Step 4: Simplify right side
   35,732x = 5,834,057,161
5. Step 5: Solve for x
   x = 5,834,057,161/35,732
6. Step 6: Final answer
   x = 163,272.62