Finding the Third Proportional to 21,641 and 28,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,641 : 28,897.50 = 28,897.50 : x
2. Step 2: Convert to fraction form
   21,641/28,897.50 = 28,897.50/x
3. Step 3: Cross multiply
   21,641x = 28,897.50 × 28,897.50
4. Step 4: Simplify right side
   21,641x = 835,065,506.25
5. Step 5: Solve for x
   x = 835,065,506.25/21,641
6. Step 6: Final answer
   x = 38,587.20