Finding the Third Proportional to 37,046 and 76,684

Step by Step Solution

1. Step 1: Write the proportion equation
   37,046 : 76,684 = 76,684 : x
2. Step 2: Convert to fraction form
   37,046/76,684 = 76,684/x
3. Step 3: Cross multiply
   37,046x = 76,684 × 76,684
4. Step 4: Simplify right side
   37,046x = 5,880,435,856
5. Step 5: Solve for x
   x = 5,880,435,856/37,046
6. Step 6: Final answer
   x = 158,733.35