Finding the Third Proportional to 22,834 and 33,513

Step by Step Solution

1. Step 1: Write the proportion equation
   22,834 : 33,513 = 33,513 : x
2. Step 2: Convert to fraction form
   22,834/33,513 = 33,513/x
3. Step 3: Cross multiply
   22,834x = 33,513 × 33,513
4. Step 4: Simplify right side
   22,834x = 1,123,121,169
5. Step 5: Solve for x
   x = 1,123,121,169/22,834
6. Step 6: Final answer
   x = 49,186.35