Finding the Third Proportional to 49,382 and 76,485

Step by Step Solution

1. Step 1: Write the proportion equation
   49,382 : 76,485 = 76,485 : x
2. Step 2: Convert to fraction form
   49,382/76,485 = 76,485/x
3. Step 3: Cross multiply
   49,382x = 76,485 × 76,485
4. Step 4: Simplify right side
   49,382x = 5,849,955,225
5. Step 5: Solve for x
   x = 5,849,955,225/49,382
6. Step 6: Final answer
   x = 118,463.31