Finding the Third Proportional to 34,474.50 and 74,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,474.50 : 74,227.50 = 74,227.50 : x
2. Step 2: Convert to fraction form
   34,474.50/74,227.50 = 74,227.50/x
3. Step 3: Cross multiply
   34,474.50x = 74,227.50 × 74,227.50
4. Step 4: Simplify right side
   34,474.50x = 5,509,721,756.25
5. Step 5: Solve for x
   x = 5,509,721,756.25/34,474.50
6. Step 6: Final answer
   x = 159,820.21