Finding the Third Proportional to 35,045 and 76,426

Step by Step Solution

1. Step 1: Write the proportion equation
   35,045 : 76,426 = 76,426 : x
2. Step 2: Convert to fraction form
   35,045/76,426 = 76,426/x
3. Step 3: Cross multiply
   35,045x = 76,426 × 76,426
4. Step 4: Simplify right side
   35,045x = 5,840,933,476
5. Step 5: Solve for x
   x = 5,840,933,476/35,045
6. Step 6: Final answer
   x = 166,669.52