Finding the Third Proportional to 42,138 and 91,032

Step by Step Solution

1. Step 1: Write the proportion equation
   42,138 : 91,032 = 91,032 : x
2. Step 2: Convert to fraction form
   42,138/91,032 = 91,032/x
3. Step 3: Cross multiply
   42,138x = 91,032 × 91,032
4. Step 4: Simplify right side
   42,138x = 8,286,825,024
5. Step 5: Solve for x
   x = 8,286,825,024/42,138
6. Step 6: Final answer
   x = 196,659.19