Finding the Third Proportional to 48,663 and 75,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,663 : 75,145.50 = 75,145.50 : x
2. Step 2: Convert to fraction form
   48,663/75,145.50 = 75,145.50/x
3. Step 3: Cross multiply
   48,663x = 75,145.50 × 75,145.50
4. Step 4: Simplify right side
   48,663x = 5,646,846,170.25
5. Step 5: Solve for x
   x = 5,646,846,170.25/48,663
6. Step 6: Final answer
   x = 116,039.83