Finding the Third Proportional to 13,100 and 17,658

Step by Step Solution

1. Step 1: Write the proportion equation
   13,100 : 17,658 = 17,658 : x
2. Step 2: Convert to fraction form
   13,100/17,658 = 17,658/x
3. Step 3: Cross multiply
   13,100x = 17,658 × 17,658
4. Step 4: Simplify right side
   13,100x = 311,804,964
5. Step 5: Solve for x
   x = 311,804,964/13,100
6. Step 6: Final answer
   x = 23,801.91