Finding the Third Proportional to 33,147 and 46,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,147 : 46,615.50 = 46,615.50 : x
2. Step 2: Convert to fraction form
   33,147/46,615.50 = 46,615.50/x
3. Step 3: Cross multiply
   33,147x = 46,615.50 × 46,615.50
4. Step 4: Simplify right side
   33,147x = 2,173,004,840.25
5. Step 5: Solve for x
   x = 2,173,004,840.25/33,147
6. Step 6: Final answer
   x = 65,556.61