Finding the Third Proportional to 23,166 and 47,969

Step by Step Solution

1. Step 1: Write the proportion equation
   23,166 : 47,969 = 47,969 : x
2. Step 2: Convert to fraction form
   23,166/47,969 = 47,969/x
3. Step 3: Cross multiply
   23,166x = 47,969 × 47,969
4. Step 4: Simplify right side
   23,166x = 2,301,024,961
5. Step 5: Solve for x
   x = 2,301,024,961/23,166
6. Step 6: Final answer
   x = 99,327.68