Finding the Third Proportional to 59,672 and 83,648

Step by Step Solution

1. Step 1: Write the proportion equation
   59,672 : 83,648 = 83,648 : x
2. Step 2: Convert to fraction form
   59,672/83,648 = 83,648/x
3. Step 3: Cross multiply
   59,672x = 83,648 × 83,648
4. Step 4: Simplify right side
   59,672x = 6,996,987,904
5. Step 5: Solve for x
   x = 6,996,987,904/59,672
6. Step 6: Final answer
   x = 117,257.47