Finding the Third Proportional to 15,864 and 37,516

Step by Step Solution

1. Step 1: Write the proportion equation
   15,864 : 37,516 = 37,516 : x
2. Step 2: Convert to fraction form
   15,864/37,516 = 37,516/x
3. Step 3: Cross multiply
   15,864x = 37,516 × 37,516
4. Step 4: Simplify right side
   15,864x = 1,407,450,256
5. Step 5: Solve for x
   x = 1,407,450,256/15,864
6. Step 6: Final answer
   x = 88,719.76