Finding the Third Proportional to 56,172 and 76,966

Step by Step Solution

1. Step 1: Write the proportion equation
   56,172 : 76,966 = 76,966 : x
2. Step 2: Convert to fraction form
   56,172/76,966 = 76,966/x
3. Step 3: Cross multiply
   56,172x = 76,966 × 76,966
4. Step 4: Simplify right side
   56,172x = 5,923,765,156
5. Step 5: Solve for x
   x = 5,923,765,156/56,172
6. Step 6: Final answer
   x = 105,457.62