Finding the Third Proportional to 34,222.50 and 74,277

Step by Step Solution

1. Step 1: Write the proportion equation
   34,222.50 : 74,277 = 74,277 : x
2. Step 2: Convert to fraction form
   34,222.50/74,277 = 74,277/x
3. Step 3: Cross multiply
   34,222.50x = 74,277 × 74,277
4. Step 4: Simplify right side
   34,222.50x = 5,517,072,729
5. Step 5: Solve for x
   x = 5,517,072,729/34,222.50
6. Step 6: Final answer
   x = 161,211.86