Finding the Third Proportional to 64,656 and 103,824

Step by Step Solution

1. Step 1: Write the proportion equation
   64,656 : 103,824 = 103,824 : x
2. Step 2: Convert to fraction form
   64,656/103,824 = 103,824/x
3. Step 3: Cross multiply
   64,656x = 103,824 × 103,824
4. Step 4: Simplify right side
   64,656x = 10,779,422,976
5. Step 5: Solve for x
   x = 10,779,422,976/64,656
6. Step 6: Final answer
   x = 166,719.61