Finding the Third Proportional to 42,002 and 90,781

Step by Step Solution

1. Step 1: Write the proportion equation
   42,002 : 90,781 = 90,781 : x
2. Step 2: Convert to fraction form
   42,002/90,781 = 90,781/x
3. Step 3: Cross multiply
   42,002x = 90,781 × 90,781
4. Step 4: Simplify right side
   42,002x = 8,241,189,961
5. Step 5: Solve for x
   x = 8,241,189,961/42,002
6. Step 6: Final answer
   x = 196,209.47