Finding the Third Proportional to 48,738 and 71,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,738 : 71,377.50 = 71,377.50 : x
2. Step 2: Convert to fraction form
   48,738/71,377.50 = 71,377.50/x
3. Step 3: Cross multiply
   48,738x = 71,377.50 × 71,377.50
4. Step 4: Simplify right side
   48,738x = 5,094,747,506.25
5. Step 5: Solve for x
   x = 5,094,747,506.25/48,738
6. Step 6: Final answer
   x = 104,533.37