Finding the Third Proportional to 71,666 and 109,971

Step by Step Solution

1. Step 1: Write the proportion equation
   71,666 : 109,971 = 109,971 : x
2. Step 2: Convert to fraction form
   71,666/109,971 = 109,971/x
3. Step 3: Cross multiply
   71,666x = 109,971 × 109,971
4. Step 4: Simplify right side
   71,666x = 12,093,620,841
5. Step 5: Solve for x
   x = 12,093,620,841/71,666
6. Step 6: Final answer
   x = 168,749.77