Finding the Third Proportional to 18,705 and 31,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,705 : 31,171.50 = 31,171.50 : x
2. Step 2: Convert to fraction form
   18,705/31,171.50 = 31,171.50/x
3. Step 3: Cross multiply
   18,705x = 31,171.50 × 31,171.50
4. Step 4: Simplify right side
   18,705x = 971,662,412.25
5. Step 5: Solve for x
   x = 971,662,412.25/18,705
6. Step 6: Final answer
   x = 51,946.67