Finding the Third Proportional to 35,906 and 77,143

Step by Step Solution

1. Step 1: Write the proportion equation
   35,906 : 77,143 = 77,143 : x
2. Step 2: Convert to fraction form
   35,906/77,143 = 77,143/x
3. Step 3: Cross multiply
   35,906x = 77,143 × 77,143
4. Step 4: Simplify right side
   35,906x = 5,951,042,449
5. Step 5: Solve for x
   x = 5,951,042,449/35,906
6. Step 6: Final answer
   x = 165,739.50