Finding the Third Proportional to 35,814 and 77,262

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 77,262 = 77,262 : x
2. Step 2: Convert to fraction form
   35,814/77,262 = 77,262/x
3. Step 3: Cross multiply
   35,814x = 77,262 × 77,262
4. Step 4: Simplify right side
   35,814x = 5,969,416,644
5. Step 5: Solve for x
   x = 5,969,416,644/35,814
6. Step 6: Final answer
   x = 166,678.30