Finding the Third Proportional to 21,405 and 31,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,405 : 31,270.50 = 31,270.50 : x
2. Step 2: Convert to fraction form
   21,405/31,270.50 = 31,270.50/x
3. Step 3: Cross multiply
   21,405x = 31,270.50 × 31,270.50
4. Step 4: Simplify right side
   21,405x = 977,844,170.25
5. Step 5: Solve for x
   x = 977,844,170.25/21,405
6. Step 6: Final answer
   x = 45,682.98