Finding the Third Proportional to 37,138 and 77,338

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138 : 77,338 = 77,338 : x
2. Step 2: Convert to fraction form
   37,138/77,338 = 77,338/x
3. Step 3: Cross multiply
   37,138x = 77,338 × 77,338
4. Step 4: Simplify right side
   37,138x = 5,981,166,244
5. Step 5: Solve for x
   x = 5,981,166,244/37,138
6. Step 6: Final answer
   x = 161,052.46