Finding the Third Proportional to 35,734 and 78,475

Step by Step Solution

1. Step 1: Write the proportion equation
   35,734 : 78,475 = 78,475 : x
2. Step 2: Convert to fraction form
   35,734/78,475 = 78,475/x
3. Step 3: Cross multiply
   35,734x = 78,475 × 78,475
4. Step 4: Simplify right side
   35,734x = 6,158,325,625
5. Step 5: Solve for x
   x = 6,158,325,625/35,734
6. Step 6: Final answer
   x = 172,337.99