Finding the Third Proportional to 6,101 and 13,606

Step by Step Solution

1. Step 1: Write the proportion equation
   6,101 : 13,606 = 13,606 : x
2. Step 2: Convert to fraction form
   6,101/13,606 = 13,606/x
3. Step 3: Cross multiply
   6,101x = 13,606 × 13,606
4. Step 4: Simplify right side
   6,101x = 185,123,236
5. Step 5: Solve for x
   x = 185,123,236/6,101
6. Step 6: Final answer
   x = 30,343.10