Finding the Third Proportional to 17,664 and 27,410

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 27,410 = 27,410 : x
2. Step 2: Convert to fraction form
   17,664/27,410 = 27,410/x
3. Step 3: Cross multiply
   17,664x = 27,410 × 27,410
4. Step 4: Simplify right side
   17,664x = 751,308,100
5. Step 5: Solve for x
   x = 751,308,100/17,664
6. Step 6: Final answer
   x = 42,533.29