Finding the Third Proportional to 13,641 and 21,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641 : 21,061.50 = 21,061.50 : x
2. Step 2: Convert to fraction form
   13,641/21,061.50 = 21,061.50/x
3. Step 3: Cross multiply
   13,641x = 21,061.50 × 21,061.50
4. Step 4: Simplify right side
   13,641x = 443,586,782.25
5. Step 5: Solve for x
   x = 443,586,782.25/13,641
6. Step 6: Final answer
   x = 32,518.64