Finding the Third Proportional to 35,296 and 77,064

Step by Step Solution

1. Step 1: Write the proportion equation
   35,296 : 77,064 = 77,064 : x
2. Step 2: Convert to fraction form
   35,296/77,064 = 77,064/x
3. Step 3: Cross multiply
   35,296x = 77,064 × 77,064
4. Step 4: Simplify right side
   35,296x = 5,938,860,096
5. Step 5: Solve for x
   x = 5,938,860,096/35,296
6. Step 6: Final answer
   x = 168,258.73