Finding the Third Proportional to 45,978 and 71,691

Step by Step Solution

1. Step 1: Write the proportion equation
   45,978 : 71,691 = 71,691 : x
2. Step 2: Convert to fraction form
   45,978/71,691 = 71,691/x
3. Step 3: Cross multiply
   45,978x = 71,691 × 71,691
4. Step 4: Simplify right side
   45,978x = 5,139,599,481
5. Step 5: Solve for x
   x = 5,139,599,481/45,978
6. Step 6: Final answer
   x = 111,783.89