Finding the Third Proportional to 15,724 and 37,066

Step by Step Solution

1. Step 1: Write the proportion equation
   15,724 : 37,066 = 37,066 : x
2. Step 2: Convert to fraction form
   15,724/37,066 = 37,066/x
3. Step 3: Cross multiply
   15,724x = 37,066 × 37,066
4. Step 4: Simplify right side
   15,724x = 1,373,888,356
5. Step 5: Solve for x
   x = 1,373,888,356/15,724
6. Step 6: Final answer
   x = 87,375.25