Finding the Third Proportional to 15,684 and 37,932

Step by Step Solution

1. Step 1: Write the proportion equation
   15,684 : 37,932 = 37,932 : x
2. Step 2: Convert to fraction form
   15,684/37,932 = 37,932/x
3. Step 3: Cross multiply
   15,684x = 37,932 × 37,932
4. Step 4: Simplify right side
   15,684x = 1,438,836,624
5. Step 5: Solve for x
   x = 1,438,836,624/15,684
6. Step 6: Final answer
   x = 91,739.14