Finding the Third Proportional to 49,625 and 74,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,625 : 74,446.50 = 74,446.50 : x
2. Step 2: Convert to fraction form
   49,625/74,446.50 = 74,446.50/x
3. Step 3: Cross multiply
   49,625x = 74,446.50 × 74,446.50
4. Step 4: Simplify right side
   49,625x = 5,542,281,362.25
5. Step 5: Solve for x
   x = 5,542,281,362.25/49,625
6. Step 6: Final answer
   x = 111,683.25