Finding the Third Proportional to 42,032 and 91,696

Step by Step Solution

1. Step 1: Write the proportion equation
   42,032 : 91,696 = 91,696 : x
2. Step 2: Convert to fraction form
   42,032/91,696 = 91,696/x
3. Step 3: Cross multiply
   42,032x = 91,696 × 91,696
4. Step 4: Simplify right side
   42,032x = 8,408,156,416
5. Step 5: Solve for x
   x = 8,408,156,416/42,032
6. Step 6: Final answer
   x = 200,041.79