Finding the Third Proportional to 13,188 and 21,798

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188 : 21,798 = 21,798 : x
2. Step 2: Convert to fraction form
   13,188/21,798 = 21,798/x
3. Step 3: Cross multiply
   13,188x = 21,798 × 21,798
4. Step 4: Simplify right side
   13,188x = 475,152,804
5. Step 5: Solve for x
   x = 475,152,804/13,188
6. Step 6: Final answer
   x = 36,029.18