Finding the Third Proportional to 31,993 and 49,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,993 : 49,801.50 = 49,801.50 : x
2. Step 2: Convert to fraction form
   31,993/49,801.50 = 49,801.50/x
3. Step 3: Cross multiply
   31,993x = 49,801.50 × 49,801.50
4. Step 4: Simplify right side
   31,993x = 2,480,189,402.25
5. Step 5: Solve for x
   x = 2,480,189,402.25/31,993
6. Step 6: Final answer
   x = 77,522.88