Finding the Third Proportional to 22,142 and 52,097

Step by Step Solution

1. Step 1: Write the proportion equation
   22,142 : 52,097 = 52,097 : x
2. Step 2: Convert to fraction form
   22,142/52,097 = 52,097/x
3. Step 3: Cross multiply
   22,142x = 52,097 × 52,097
4. Step 4: Simplify right side
   22,142x = 2,714,097,409
5. Step 5: Solve for x
   x = 2,714,097,409/22,142
6. Step 6: Final answer
   x = 122,576.89