Finding the Third Proportional to 35,264 and 77,000

Step by Step Solution

1. Step 1: Write the proportion equation
   35,264 : 77,000 = 77,000 : x
2. Step 2: Convert to fraction form
   35,264/77,000 = 77,000/x
3. Step 3: Cross multiply
   35,264x = 77,000 × 77,000
4. Step 4: Simplify right side
   35,264x = 5,929,000,000
5. Step 5: Solve for x
   x = 5,929,000,000/35,264
6. Step 6: Final answer
   x = 168,131.81