Finding the Third Proportional to 31,159 and 49,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,159 : 49,006.50 = 49,006.50 : x
2. Step 2: Convert to fraction form
   31,159/49,006.50 = 49,006.50/x
3. Step 3: Cross multiply
   31,159x = 49,006.50 × 49,006.50
4. Step 4: Simplify right side
   31,159x = 2,401,637,042.25
5. Step 5: Solve for x
   x = 2,401,637,042.25/31,159
6. Step 6: Final answer
   x = 77,076.83