Finding the Third Proportional to 13,765 and 30,106

Step by Step Solution

1. Step 1: Write the proportion equation
   13,765 : 30,106 = 30,106 : x
2. Step 2: Convert to fraction form
   13,765/30,106 = 30,106/x
3. Step 3: Cross multiply
   13,765x = 30,106 × 30,106
4. Step 4: Simplify right side
   13,765x = 906,371,236
5. Step 5: Solve for x
   x = 906,371,236/13,765
6. Step 6: Final answer
   x = 65,846.08