Finding the Third Proportional to 30,804 and 49,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,804 : 49,030.50 = 49,030.50 : x
2. Step 2: Convert to fraction form
   30,804/49,030.50 = 49,030.50/x
3. Step 3: Cross multiply
   30,804x = 49,030.50 × 49,030.50
4. Step 4: Simplify right side
   30,804x = 2,403,989,930.25
5. Step 5: Solve for x
   x = 2,403,989,930.25/30,804
6. Step 6: Final answer
   x = 78,041.49