Finding the Third Proportional to 15,824 and 34,156

Step by Step Solution

1. Step 1: Write the proportion equation
   15,824 : 34,156 = 34,156 : x
2. Step 2: Convert to fraction form
   15,824/34,156 = 34,156/x
3. Step 3: Cross multiply
   15,824x = 34,156 × 34,156
4. Step 4: Simplify right side
   15,824x = 1,166,632,336
5. Step 5: Solve for x
   x = 1,166,632,336/15,824
6. Step 6: Final answer
   x = 73,725.50