Finding the Third Proportional to 35,322 and 77,205

Step by Step Solution

1. Step 1: Write the proportion equation
   35,322 : 77,205 = 77,205 : x
2. Step 2: Convert to fraction form
   35,322/77,205 = 77,205/x
3. Step 3: Cross multiply
   35,322x = 77,205 × 77,205
4. Step 4: Simplify right side
   35,322x = 5,960,612,025
5. Step 5: Solve for x
   x = 5,960,612,025/35,322
6. Step 6: Final answer
   x = 168,750.69