Finding the Third Proportional to 35,648 and 78,099

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 78,099 = 78,099 : x
2. Step 2: Convert to fraction form
   35,648/78,099 = 78,099/x
3. Step 3: Cross multiply
   35,648x = 78,099 × 78,099
4. Step 4: Simplify right side
   35,648x = 6,099,453,801
5. Step 5: Solve for x
   x = 6,099,453,801/35,648
6. Step 6: Final answer
   x = 171,102.27