Finding the Third Proportional to 32,401 and 48,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,401 : 48,601.50 = 48,601.50 : x
2. Step 2: Convert to fraction form
   32,401/48,601.50 = 48,601.50/x
3. Step 3: Cross multiply
   32,401x = 48,601.50 × 48,601.50
4. Step 4: Simplify right side
   32,401x = 2,362,105,802.25
5. Step 5: Solve for x
   x = 2,362,105,802.25/32,401
6. Step 6: Final answer
   x = 72,902.25