Finding the Third Proportional to 38,083.50 and 55,824

Step by Step Solution

1. Step 1: Write the proportion equation
   38,083.50 : 55,824 = 55,824 : x
2. Step 2: Convert to fraction form
   38,083.50/55,824 = 55,824/x
3. Step 3: Cross multiply
   38,083.50x = 55,824 × 55,824
4. Step 4: Simplify right side
   38,083.50x = 3,116,318,976
5. Step 5: Solve for x
   x = 3,116,318,976/38,083.50
6. Step 6: Final answer
   x = 81,828.59