Finding the Third Proportional to 17,738 and 27,832

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 27,832 = 27,832 : x
2. Step 2: Convert to fraction form
   17,738/27,832 = 27,832/x
3. Step 3: Cross multiply
   17,738x = 27,832 × 27,832
4. Step 4: Simplify right side
   17,738x = 774,620,224
5. Step 5: Solve for x
   x = 774,620,224/17,738
6. Step 6: Final answer
   x = 43,670.10