Finding the Third Proportional to 21,357 and 31,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,357 : 31,180.50 = 31,180.50 : x
2. Step 2: Convert to fraction form
   21,357/31,180.50 = 31,180.50/x
3. Step 3: Cross multiply
   21,357x = 31,180.50 × 31,180.50
4. Step 4: Simplify right side
   21,357x = 972,223,580.25
5. Step 5: Solve for x
   x = 972,223,580.25/21,357
6. Step 6: Final answer
   x = 45,522.48