Finding the Third Proportional to 21,468 and 31,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,468 : 31,378.50 = 31,378.50 : x
2. Step 2: Convert to fraction form
   21,468/31,378.50 = 31,378.50/x
3. Step 3: Cross multiply
   21,468x = 31,378.50 × 31,378.50
4. Step 4: Simplify right side
   21,468x = 984,610,262.25
5. Step 5: Solve for x
   x = 984,610,262.25/21,468
6. Step 6: Final answer
   x = 45,864.09