Finding the Third Proportional to 6,253 and 13,658

Step by Step Solution

1. Step 1: Write the proportion equation
   6,253 : 13,658 = 13,658 : x
2. Step 2: Convert to fraction form
   6,253/13,658 = 13,658/x
3. Step 3: Cross multiply
   6,253x = 13,658 × 13,658
4. Step 4: Simplify right side
   6,253x = 186,540,964
5. Step 5: Solve for x
   x = 186,540,964/6,253
6. Step 6: Final answer
   x = 29,832.23