Finding the Third Proportional to 35,760 and 52,424

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 52,424 = 52,424 : x
2. Step 2: Convert to fraction form
   35,760/52,424 = 52,424/x
3. Step 3: Cross multiply
   35,760x = 52,424 × 52,424
4. Step 4: Simplify right side
   35,760x = 2,748,275,776
5. Step 5: Solve for x
   x = 2,748,275,776/35,760
6. Step 6: Final answer
   x = 76,853.35