Finding the Third Proportional to 31,185 and 46,764

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 46,764 = 46,764 : x
2. Step 2: Convert to fraction form
   31,185/46,764 = 46,764/x
3. Step 3: Cross multiply
   31,185x = 46,764 × 46,764
4. Step 4: Simplify right side
   31,185x = 2,186,871,696
5. Step 5: Solve for x
   x = 2,186,871,696/31,185
6. Step 6: Final answer
   x = 70,125.76