Finding the Third Proportional to 37,022 and 79,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,022 : 79,516 = 79,516 : x
2. Step 2: Convert to fraction form
   37,022/79,516 = 79,516/x
3. Step 3: Cross multiply
   37,022x = 79,516 × 79,516
4. Step 4: Simplify right side
   37,022x = 6,322,794,256
5. Step 5: Solve for x
   x = 6,322,794,256/37,022
6. Step 6: Final answer
   x = 170,784.78