Finding the Third Proportional to 37,734 and 79,139

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 79,139 = 79,139 : x
2. Step 2: Convert to fraction form
   37,734/79,139 = 79,139/x
3. Step 3: Cross multiply
   37,734x = 79,139 × 79,139
4. Step 4: Simplify right side
   37,734x = 6,262,981,321
5. Step 5: Solve for x
   x = 6,262,981,321/37,734
6. Step 6: Final answer
   x = 165,977.14