Finding the Third Proportional to 35,380 and 77,322

Step by Step Solution

1. Step 1: Write the proportion equation
   35,380 : 77,322 = 77,322 : x
2. Step 2: Convert to fraction form
   35,380/77,322 = 77,322/x
3. Step 3: Cross multiply
   35,380x = 77,322 × 77,322
4. Step 4: Simplify right side
   35,380x = 5,978,691,684
5. Step 5: Solve for x
   x = 5,978,691,684/35,380
6. Step 6: Final answer
   x = 168,985.07