Finding the Third Proportional to 22,088 and 47,697

Step by Step Solution

1. Step 1: Write the proportion equation
   22,088 : 47,697 = 47,697 : x
2. Step 2: Convert to fraction form
   22,088/47,697 = 47,697/x
3. Step 3: Cross multiply
   22,088x = 47,697 × 47,697
4. Step 4: Simplify right side
   22,088x = 2,275,003,809
5. Step 5: Solve for x
   x = 2,275,003,809/22,088
6. Step 6: Final answer
   x = 102,997.27