Finding the Third Proportional to 42,433 and 91,424

Step by Step Solution

1. Step 1: Write the proportion equation
   42,433 : 91,424 = 91,424 : x
2. Step 2: Convert to fraction form
   42,433/91,424 = 91,424/x
3. Step 3: Cross multiply
   42,433x = 91,424 × 91,424
4. Step 4: Simplify right side
   42,433x = 8,358,347,776
5. Step 5: Solve for x
   x = 8,358,347,776/42,433
6. Step 6: Final answer
   x = 196,977.54