Finding the Third Proportional to 57,642 and 90,225

Step by Step Solution

1. Step 1: Write the proportion equation
   57,642 : 90,225 = 90,225 : x
2. Step 2: Convert to fraction form
   57,642/90,225 = 90,225/x
3. Step 3: Cross multiply
   57,642x = 90,225 × 90,225
4. Step 4: Simplify right side
   57,642x = 8,140,550,625
5. Step 5: Solve for x
   x = 8,140,550,625/57,642
6. Step 6: Final answer
   x = 141,226.03