Finding the Third Proportional to 15,106 and 35,123

Step by Step Solution

1. Step 1: Write the proportion equation
   15,106 : 35,123 = 35,123 : x
2. Step 2: Convert to fraction form
   15,106/35,123 = 35,123/x
3. Step 3: Cross multiply
   15,106x = 35,123 × 35,123
4. Step 4: Simplify right side
   15,106x = 1,233,625,129
5. Step 5: Solve for x
   x = 1,233,625,129/15,106
6. Step 6: Final answer
   x = 81,664.58