Finding the Third Proportional to 34,767 and 74,775.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,767 : 74,775.38 = 74,775.38 : x
2. Step 2: Convert to fraction form
   34,767/74,775.38 = 74,775.38/x
3. Step 3: Cross multiply
   34,767x = 74,775.38 × 74,775.38
4. Step 4: Simplify right side
   34,767x = 5,591,356,706.39
5. Step 5: Solve for x
   x = 5,591,356,706.39/34,767
6. Step 6: Final answer
   x = 160,823.67