Finding the Third Proportional to 22,253 and 47,665

Step by Step Solution

1. Step 1: Write the proportion equation
   22,253 : 47,665 = 47,665 : x
2. Step 2: Convert to fraction form
   22,253/47,665 = 47,665/x
3. Step 3: Cross multiply
   22,253x = 47,665 × 47,665
4. Step 4: Simplify right side
   22,253x = 2,271,952,225
5. Step 5: Solve for x
   x = 2,271,952,225/22,253
6. Step 6: Final answer
   x = 102,096.45