Finding the Third Proportional to 20,964 and 31,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,964 : 31,642.50 = 31,642.50 : x
2. Step 2: Convert to fraction form
   20,964/31,642.50 = 31,642.50/x
3. Step 3: Cross multiply
   20,964x = 31,642.50 × 31,642.50
4. Step 4: Simplify right side
   20,964x = 1,001,247,806.25
5. Step 5: Solve for x
   x = 1,001,247,806.25/20,964
6. Step 6: Final answer
   x = 47,760.34