Finding the Third Proportional to 38,390 and 59,225

Step by Step Solution

1. Step 1: Write the proportion equation
   38,390 : 59,225 = 59,225 : x
2. Step 2: Convert to fraction form
   38,390/59,225 = 59,225/x
3. Step 3: Cross multiply
   38,390x = 59,225 × 59,225
4. Step 4: Simplify right side
   38,390x = 3,507,600,625
5. Step 5: Solve for x
   x = 3,507,600,625/38,390
6. Step 6: Final answer
   x = 91,367.56