Finding the Third Proportional to 35,748 and 50,274

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 50,274 = 50,274 : x
2. Step 2: Convert to fraction form
   35,748/50,274 = 50,274/x
3. Step 3: Cross multiply
   35,748x = 50,274 × 50,274
4. Step 4: Simplify right side
   35,748x = 2,527,475,076
5. Step 5: Solve for x
   x = 2,527,475,076/35,748
6. Step 6: Final answer
   x = 70,702.56