Finding the Third Proportional to 34,629.75 and 74,794.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,629.75 : 74,794.50 = 74,794.50 : x
2. Step 2: Convert to fraction form
   34,629.75/74,794.50 = 74,794.50/x
3. Step 3: Cross multiply
   34,629.75x = 74,794.50 × 74,794.50
4. Step 4: Simplify right side
   34,629.75x = 5,594,217,230.25
5. Step 5: Solve for x
   x = 5,594,217,230.25/34,629.75
6. Step 6: Final answer
   x = 161,543.68