Finding the Third Proportional to 17,762 and 37,225

Step by Step Solution

1. Step 1: Write the proportion equation
   17,762 : 37,225 = 37,225 : x
2. Step 2: Convert to fraction form
   17,762/37,225 = 37,225/x
3. Step 3: Cross multiply
   17,762x = 37,225 × 37,225
4. Step 4: Simplify right side
   17,762x = 1,385,700,625
5. Step 5: Solve for x
   x = 1,385,700,625/17,762
6. Step 6: Final answer
   x = 78,014.90