Finding the Third Proportional to 22,146 and 52,106

Step by Step Solution

1. Step 1: Write the proportion equation
   22,146 : 52,106 = 52,106 : x
2. Step 2: Convert to fraction form
   22,146/52,106 = 52,106/x
3. Step 3: Cross multiply
   22,146x = 52,106 × 52,106
4. Step 4: Simplify right side
   22,146x = 2,715,035,236
5. Step 5: Solve for x
   x = 2,715,035,236/22,146
6. Step 6: Final answer
   x = 122,597.09