Finding the Third Proportional to 21,681 and 43,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,681 : 43,537.50 = 43,537.50 : x
2. Step 2: Convert to fraction form
   21,681/43,537.50 = 43,537.50/x
3. Step 3: Cross multiply
   21,681x = 43,537.50 × 43,537.50
4. Step 4: Simplify right side
   21,681x = 1,895,513,906.25
5. Step 5: Solve for x
   x = 1,895,513,906.25/21,681
6. Step 6: Final answer
   x = 87,427.42