Finding the Third Proportional to 22,830 and 34,148

Step by Step Solution

1. Step 1: Write the proportion equation
   22,830 : 34,148 = 34,148 : x
2. Step 2: Convert to fraction form
   22,830/34,148 = 34,148/x
3. Step 3: Cross multiply
   22,830x = 34,148 × 34,148
4. Step 4: Simplify right side
   22,830x = 1,166,085,904
5. Step 5: Solve for x
   x = 1,166,085,904/22,830
6. Step 6: Final answer
   x = 51,076.91