Finding the Third Proportional to 49,470 and 76,714

Step by Step Solution

1. Step 1: Write the proportion equation
   49,470 : 76,714 = 76,714 : x
2. Step 2: Convert to fraction form
   49,470/76,714 = 76,714/x
3. Step 3: Cross multiply
   49,470x = 76,714 × 76,714
4. Step 4: Simplify right side
   49,470x = 5,885,037,796
5. Step 5: Solve for x
   x = 5,885,037,796/49,470
6. Step 6: Final answer
   x = 118,961.75