Finding the Third Proportional to 31,938 and 64,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,938 : 64,786.50 = 64,786.50 : x
2. Step 2: Convert to fraction form
   31,938/64,786.50 = 64,786.50/x
3. Step 3: Cross multiply
   31,938x = 64,786.50 × 64,786.50
4. Step 4: Simplify right side
   31,938x = 4,197,290,582.25
5. Step 5: Solve for x
   x = 4,197,290,582.25/31,938
6. Step 6: Final answer
   x = 131,419.96