Finding the Third Proportional to 21,309.75 and 38,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,309.75 : 38,461.50 = 38,461.50 : x
2. Step 2: Convert to fraction form
   21,309.75/38,461.50 = 38,461.50/x
3. Step 3: Cross multiply
   21,309.75x = 38,461.50 × 38,461.50
4. Step 4: Simplify right side
   21,309.75x = 1,479,286,982.25
5. Step 5: Solve for x
   x = 1,479,286,982.25/21,309.75
6. Step 6: Final answer
   x = 69,418.32