Finding the Third Proportional to 48,401 and 76,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,401 : 76,061.50 = 76,061.50 : x
2. Step 2: Convert to fraction form
   48,401/76,061.50 = 76,061.50/x
3. Step 3: Cross multiply
   48,401x = 76,061.50 × 76,061.50
4. Step 4: Simplify right side
   48,401x = 5,785,351,782.25
5. Step 5: Solve for x
   x = 5,785,351,782.25/48,401
6. Step 6: Final answer
   x = 119,529.59