Finding the Third Proportional to 19,764 and 31,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 31,468.50 = 31,468.50 : x
2. Step 2: Convert to fraction form
   19,764/31,468.50 = 31,468.50/x
3. Step 3: Cross multiply
   19,764x = 31,468.50 × 31,468.50
4. Step 4: Simplify right side
   19,764x = 990,266,492.25
5. Step 5: Solve for x
   x = 990,266,492.25/19,764
6. Step 6: Final answer
   x = 50,104.56