Finding the Third Proportional to 49,880 and 76,665

Step by Step Solution

1. Step 1: Write the proportion equation
   49,880 : 76,665 = 76,665 : x
2. Step 2: Convert to fraction form
   49,880/76,665 = 76,665/x
3. Step 3: Cross multiply
   49,880x = 76,665 × 76,665
4. Step 4: Simplify right side
   49,880x = 5,877,522,225
5. Step 5: Solve for x
   x = 5,877,522,225/49,880
6. Step 6: Final answer
   x = 117,833.24