Finding the Third Proportional to 48,514.50 and 77,145.75

Step by Step Solution

1. Step 1: Write the proportion equation
   48,514.50 : 77,145.75 = 77,145.75 : x
2. Step 2: Convert to fraction form
   48,514.50/77,145.75 = 77,145.75/x
3. Step 3: Cross multiply
   48,514.50x = 77,145.75 × 77,145.75
4. Step 4: Simplify right side
   48,514.50x = 5,951,466,743.06
5. Step 5: Solve for x
   x = 5,951,466,743.06/48,514.50
6. Step 6: Final answer
   x = 122,673.98