Finding the Third Proportional to 30,969 and 45,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,969 : 45,724.50 = 45,724.50 : x
2. Step 2: Convert to fraction form
   30,969/45,724.50 = 45,724.50/x
3. Step 3: Cross multiply
   30,969x = 45,724.50 × 45,724.50
4. Step 4: Simplify right side
   30,969x = 2,090,729,900.25
5. Step 5: Solve for x
   x = 2,090,729,900.25/30,969
6. Step 6: Final answer
   x = 67,510.41