Finding the Third Proportional to 31,493 and 49,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,493 : 49,154.50 = 49,154.50 : x
2. Step 2: Convert to fraction form
   31,493/49,154.50 = 49,154.50/x
3. Step 3: Cross multiply
   31,493x = 49,154.50 × 49,154.50
4. Step 4: Simplify right side
   31,493x = 2,416,164,870.25
5. Step 5: Solve for x
   x = 2,416,164,870.25/31,493
6. Step 6: Final answer
   x = 76,720.70