Finding the Third Proportional to 31,482 and 49,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,482 : 49,333.50 = 49,333.50 : x
2. Step 2: Convert to fraction form
   31,482/49,333.50 = 49,333.50/x
3. Step 3: Cross multiply
   31,482x = 49,333.50 × 49,333.50
4. Step 4: Simplify right side
   31,482x = 2,433,794,222.25
5. Step 5: Solve for x
   x = 2,433,794,222.25/31,482
6. Step 6: Final answer
   x = 77,307.48