Finding the Third Proportional to 49,381 and 70,564

Step by Step Solution

1. Step 1: Write the proportion equation
   49,381 : 70,564 = 70,564 : x
2. Step 2: Convert to fraction form
   49,381/70,564 = 70,564/x
3. Step 3: Cross multiply
   49,381x = 70,564 × 70,564
4. Step 4: Simplify right side
   49,381x = 4,979,278,096
5. Step 5: Solve for x
   x = 4,979,278,096/49,381
6. Step 6: Final answer
   x = 100,833.89