Finding the Third Proportional to 31,792.50 and 46,764

Step by Step Solution

1. Step 1: Write the proportion equation
   31,792.50 : 46,764 = 46,764 : x
2. Step 2: Convert to fraction form
   31,792.50/46,764 = 46,764/x
3. Step 3: Cross multiply
   31,792.50x = 46,764 × 46,764
4. Step 4: Simplify right side
   31,792.50x = 2,186,871,696
5. Step 5: Solve for x
   x = 2,186,871,696/31,792.50
6. Step 6: Final answer
   x = 68,785.77