Finding the Third Proportional to 15,784 and 37,172

Step by Step Solution

1. Step 1: Write the proportion equation
   15,784 : 37,172 = 37,172 : x
2. Step 2: Convert to fraction form
   15,784/37,172 = 37,172/x
3. Step 3: Cross multiply
   15,784x = 37,172 × 37,172
4. Step 4: Simplify right side
   15,784x = 1,381,757,584
5. Step 5: Solve for x
   x = 1,381,757,584/15,784
6. Step 6: Final answer
   x = 87,541.66