Finding the Third Proportional to 42,021 and 90,413

Step by Step Solution

1. Step 1: Write the proportion equation
   42,021 : 90,413 = 90,413 : x
2. Step 2: Convert to fraction form
   42,021/90,413 = 90,413/x
3. Step 3: Cross multiply
   42,021x = 90,413 × 90,413
4. Step 4: Simplify right side
   42,021x = 8,174,510,569
5. Step 5: Solve for x
   x = 8,174,510,569/42,021
6. Step 6: Final answer
   x = 194,533.94