Finding the Third Proportional to 31,174.50 and 46,635

Step by Step Solution

1. Step 1: Write the proportion equation
   31,174.50 : 46,635 = 46,635 : x
2. Step 2: Convert to fraction form
   31,174.50/46,635 = 46,635/x
3. Step 3: Cross multiply
   31,174.50x = 46,635 × 46,635
4. Step 4: Simplify right side
   31,174.50x = 2,174,823,225
5. Step 5: Solve for x
   x = 2,174,823,225/31,174.50
6. Step 6: Final answer
   x = 69,762.89