Finding the Third Proportional to 6,340 and 13,501

Step by Step Solution

1. Step 1: Write the proportion equation
   6,340 : 13,501 = 13,501 : x
2. Step 2: Convert to fraction form
   6,340/13,501 = 13,501/x
3. Step 3: Cross multiply
   6,340x = 13,501 × 13,501
4. Step 4: Simplify right side
   6,340x = 182,277,001
5. Step 5: Solve for x
   x = 182,277,001/6,340
6. Step 6: Final answer
   x = 28,750.32