Finding the Third Proportional to 13,188 and 17,798

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188 : 17,798 = 17,798 : x
2. Step 2: Convert to fraction form
   13,188/17,798 = 17,798/x
3. Step 3: Cross multiply
   13,188x = 17,798 × 17,798
4. Step 4: Simplify right side
   13,188x = 316,768,804
5. Step 5: Solve for x
   x = 316,768,804/13,188
6. Step 6: Final answer
   x = 24,019.47