Finding the Third Proportional to 42,208 and 65,352

Step by Step Solution

1. Step 1: Write the proportion equation
   42,208 : 65,352 = 65,352 : x
2. Step 2: Convert to fraction form
   42,208/65,352 = 65,352/x
3. Step 3: Cross multiply
   42,208x = 65,352 × 65,352
4. Step 4: Simplify right side
   42,208x = 4,270,883,904
5. Step 5: Solve for x
   x = 4,270,883,904/42,208
6. Step 6: Final answer
   x = 101,186.60