Finding the Third Proportional to 15,434 and 33,516

Step by Step Solution

1. Step 1: Write the proportion equation
   15,434 : 33,516 = 33,516 : x
2. Step 2: Convert to fraction form
   15,434/33,516 = 33,516/x
3. Step 3: Cross multiply
   15,434x = 33,516 × 33,516
4. Step 4: Simplify right side
   15,434x = 1,123,322,256
5. Step 5: Solve for x
   x = 1,123,322,256/15,434
6. Step 6: Final answer
   x = 72,782.32