Finding the Third Proportional to 21,681 and 33,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,681 : 33,997.50 = 33,997.50 : x
2. Step 2: Convert to fraction form
   21,681/33,997.50 = 33,997.50/x
3. Step 3: Cross multiply
   21,681x = 33,997.50 × 33,997.50
4. Step 4: Simplify right side
   21,681x = 1,155,830,006.25
5. Step 5: Solve for x
   x = 1,155,830,006.25/21,681
6. Step 6: Final answer
   x = 53,310.73