Finding the Third Proportional to 31,786 and 46,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786 : 46,706.50 = 46,706.50 : x
2. Step 2: Convert to fraction form
   31,786/46,706.50 = 46,706.50/x
3. Step 3: Cross multiply
   31,786x = 46,706.50 × 46,706.50
4. Step 4: Simplify right side
   31,786x = 2,181,497,142.25
5. Step 5: Solve for x
   x = 2,181,497,142.25/31,786
6. Step 6: Final answer
   x = 68,630.75