Finding the Third Proportional to 48,441 and 72,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,441 : 72,709.50 = 72,709.50 : x
2. Step 2: Convert to fraction form
   48,441/72,709.50 = 72,709.50/x
3. Step 3: Cross multiply
   48,441x = 72,709.50 × 72,709.50
4. Step 4: Simplify right side
   48,441x = 5,286,671,390.25
5. Step 5: Solve for x
   x = 5,286,671,390.25/48,441
6. Step 6: Final answer
   x = 109,136.30