Finding the Third Proportional to 38,352 and 83,824

Step by Step Solution

1. Step 1: Write the proportion equation
   38,352 : 83,824 = 83,824 : x
2. Step 2: Convert to fraction form
   38,352/83,824 = 83,824/x
3. Step 3: Cross multiply
   38,352x = 83,824 × 83,824
4. Step 4: Simplify right side
   38,352x = 7,026,462,976
5. Step 5: Solve for x
   x = 7,026,462,976/38,352
6. Step 6: Final answer
   x = 183,209.82