Finding the Third Proportional to 15,864 and 37,512

Step by Step Solution

1. Step 1: Write the proportion equation
   15,864 : 37,512 = 37,512 : x
2. Step 2: Convert to fraction form
   15,864/37,512 = 37,512/x
3. Step 3: Cross multiply
   15,864x = 37,512 × 37,512
4. Step 4: Simplify right side
   15,864x = 1,407,150,144
5. Step 5: Solve for x
   x = 1,407,150,144/15,864
6. Step 6: Final answer
   x = 88,700.84