Finding the Third Proportional to 37,734 and 79,140

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 79,140 = 79,140 : x
2. Step 2: Convert to fraction form
   37,734/79,140 = 79,140/x
3. Step 3: Cross multiply
   37,734x = 79,140 × 79,140
4. Step 4: Simplify right side
   37,734x = 6,263,139,600
5. Step 5: Solve for x
   x = 6,263,139,600/37,734
6. Step 6: Final answer
   x = 165,981.33