Finding the Third Proportional to 6,100 and 13,342

Step by Step Solution

1. Step 1: Write the proportion equation
   6,100 : 13,342 = 13,342 : x
2. Step 2: Convert to fraction form
   6,100/13,342 = 13,342/x
3. Step 3: Cross multiply
   6,100x = 13,342 × 13,342
4. Step 4: Simplify right side
   6,100x = 178,008,964
5. Step 5: Solve for x
   x = 178,008,964/6,100
6. Step 6: Final answer
   x = 29,181.80