Finding the Third Proportional to 30,954 and 46,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,954 : 46,431.50 = 46,431.50 : x
2. Step 2: Convert to fraction form
   30,954/46,431.50 = 46,431.50/x
3. Step 3: Cross multiply
   30,954x = 46,431.50 × 46,431.50
4. Step 4: Simplify right side
   30,954x = 2,155,884,192.25
5. Step 5: Solve for x
   x = 2,155,884,192.25/30,954
6. Step 6: Final answer
   x = 69,648.00