Finding the Third Proportional to 85,872 and 93,648

Step by Step Solution

1. Step 1: Write the proportion equation
   85,872 : 93,648 = 93,648 : x
2. Step 2: Convert to fraction form
   85,872/93,648 = 93,648/x
3. Step 3: Cross multiply
   85,872x = 93,648 × 93,648
4. Step 4: Simplify right side
   85,872x = 8,769,947,904
5. Step 5: Solve for x
   x = 8,769,947,904/85,872
6. Step 6: Final answer
   x = 102,128.14