Finding the Third Proportional to 17,712 and 41,784

Step by Step Solution

1. Step 1: Write the proportion equation
   17,712 : 41,784 = 41,784 : x
2. Step 2: Convert to fraction form
   17,712/41,784 = 41,784/x
3. Step 3: Cross multiply
   17,712x = 41,784 × 41,784
4. Step 4: Simplify right side
   17,712x = 1,745,902,656
5. Step 5: Solve for x
   x = 1,745,902,656/17,712
6. Step 6: Final answer
   x = 98,571.74