Finding the Third Proportional to 49,384 and 76,584

Step by Step Solution

1. Step 1: Write the proportion equation
   49,384 : 76,584 = 76,584 : x
2. Step 2: Convert to fraction form
   49,384/76,584 = 76,584/x
3. Step 3: Cross multiply
   49,384x = 76,584 × 76,584
4. Step 4: Simplify right side
   49,384x = 5,865,109,056
5. Step 5: Solve for x
   x = 5,865,109,056/49,384
6. Step 6: Final answer
   x = 118,765.37