Finding the Third Proportional to 35,410 and 77,064

Step by Step Solution

1. Step 1: Write the proportion equation
   35,410 : 77,064 = 77,064 : x
2. Step 2: Convert to fraction form
   35,410/77,064 = 77,064/x
3. Step 3: Cross multiply
   35,410x = 77,064 × 77,064
4. Step 4: Simplify right side
   35,410x = 5,938,860,096
5. Step 5: Solve for x
   x = 5,938,860,096/35,410
6. Step 6: Final answer
   x = 167,717.03