Finding the Third Proportional to 35,337 and 77,146

Step by Step Solution

1. Step 1: Write the proportion equation
   35,337 : 77,146 = 77,146 : x
2. Step 2: Convert to fraction form
   35,337/77,146 = 77,146/x
3. Step 3: Cross multiply
   35,337x = 77,146 × 77,146
4. Step 4: Simplify right side
   35,337x = 5,951,505,316
5. Step 5: Solve for x
   x = 5,951,505,316/35,337
6. Step 6: Final answer
   x = 168,421.35