Finding the Third Proportional to 22,582 and 34,946

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582 : 34,946 = 34,946 : x
2. Step 2: Convert to fraction form
   22,582/34,946 = 34,946/x
3. Step 3: Cross multiply
   22,582x = 34,946 × 34,946
4. Step 4: Simplify right side
   22,582x = 1,221,222,916
5. Step 5: Solve for x
   x = 1,221,222,916/22,582
6. Step 6: Final answer
   x = 54,079.48