Finding the Third Proportional to 42,027 and 90,426

Step by Step Solution

1. Step 1: Write the proportion equation
   42,027 : 90,426 = 90,426 : x
2. Step 2: Convert to fraction form
   42,027/90,426 = 90,426/x
3. Step 3: Cross multiply
   42,027x = 90,426 × 90,426
4. Step 4: Simplify right side
   42,027x = 8,176,861,476
5. Step 5: Solve for x
   x = 8,176,861,476/42,027
6. Step 6: Final answer
   x = 194,562.10