Finding the Third Proportional to 50,592.50 and 76,645

Step by Step Solution

1. Step 1: Write the proportion equation
   50,592.50 : 76,645 = 76,645 : x
2. Step 2: Convert to fraction form
   50,592.50/76,645 = 76,645/x
3. Step 3: Cross multiply
   50,592.50x = 76,645 × 76,645
4. Step 4: Simplify right side
   50,592.50x = 5,874,456,025
5. Step 5: Solve for x
   x = 5,874,456,025/50,592.50
6. Step 6: Final answer
   x = 116,113.18