Finding the Third Proportional to 61,824 and 83,976

Step by Step Solution

1. Step 1: Write the proportion equation
   61,824 : 83,976 = 83,976 : x
2. Step 2: Convert to fraction form
   61,824/83,976 = 83,976/x
3. Step 3: Cross multiply
   61,824x = 83,976 × 83,976
4. Step 4: Simplify right side
   61,824x = 7,051,968,576
5. Step 5: Solve for x
   x = 7,051,968,576/61,824
6. Step 6: Final answer
   x = 114,065.23