Finding the Third Proportional to 22,834 and 34,154

Step by Step Solution

1. Step 1: Write the proportion equation
   22,834 : 34,154 = 34,154 : x
2. Step 2: Convert to fraction form
   22,834/34,154 = 34,154/x
3. Step 3: Cross multiply
   22,834x = 34,154 × 34,154
4. Step 4: Simplify right side
   22,834x = 1,166,495,716
5. Step 5: Solve for x
   x = 1,166,495,716/22,834
6. Step 6: Final answer
   x = 51,085.91