Finding the Third Proportional to 11,632 and 17,798

Step by Step Solution

1. Step 1: Write the proportion equation
   11,632 : 17,798 = 17,798 : x
2. Step 2: Convert to fraction form
   11,632/17,798 = 17,798/x
3. Step 3: Cross multiply
   11,632x = 17,798 × 17,798
4. Step 4: Simplify right side
   11,632x = 316,768,804
5. Step 5: Solve for x
   x = 316,768,804/11,632
6. Step 6: Final answer
   x = 27,232.53