Finding the Third Proportional to 48,684 and 76,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,684 : 76,063.50 = 76,063.50 : x
2. Step 2: Convert to fraction form
   48,684/76,063.50 = 76,063.50/x
3. Step 3: Cross multiply
   48,684x = 76,063.50 × 76,063.50
4. Step 4: Simplify right side
   48,684x = 5,785,656,032.25
5. Step 5: Solve for x
   x = 5,785,656,032.25/48,684
6. Step 6: Final answer
   x = 118,841.02