Finding the Third Proportional to 37,792 and 52,836

Step by Step Solution

1. Step 1: Write the proportion equation
   37,792 : 52,836 = 52,836 : x
2. Step 2: Convert to fraction form
   37,792/52,836 = 52,836/x
3. Step 3: Cross multiply
   37,792x = 52,836 × 52,836
4. Step 4: Simplify right side
   37,792x = 2,791,642,896
5. Step 5: Solve for x
   x = 2,791,642,896/37,792
6. Step 6: Final answer
   x = 73,868.62