Finding the Third Proportional to 48,026.50 and 77,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,026.50 : 77,165.50 = 77,165.50 : x
2. Step 2: Convert to fraction form
   48,026.50/77,165.50 = 77,165.50/x
3. Step 3: Cross multiply
   48,026.50x = 77,165.50 × 77,165.50
4. Step 4: Simplify right side
   48,026.50x = 5,954,514,390.25
5. Step 5: Solve for x
   x = 5,954,514,390.25/48,026.50
6. Step 6: Final answer
   x = 123,983.93