Finding the Third Proportional to 31,740 and 46,627

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740 : 46,627 = 46,627 : x
2. Step 2: Convert to fraction form
   31,740/46,627 = 46,627/x
3. Step 3: Cross multiply
   31,740x = 46,627 × 46,627
4. Step 4: Simplify right side
   31,740x = 2,174,077,129
5. Step 5: Solve for x
   x = 2,174,077,129/31,740
6. Step 6: Final answer
   x = 68,496.44