Finding the Third Proportional to 31,697 and 45,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,697 : 45,685.50 = 45,685.50 : x
2. Step 2: Convert to fraction form
   31,697/45,685.50 = 45,685.50/x
3. Step 3: Cross multiply
   31,697x = 45,685.50 × 45,685.50
4. Step 4: Simplify right side
   31,697x = 2,087,164,910.25
5. Step 5: Solve for x
   x = 2,087,164,910.25/31,697
6. Step 6: Final answer
   x = 65,847.40