Finding the Third Proportional to 21,546 and 32,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,546 : 32,089.50 = 32,089.50 : x
2. Step 2: Convert to fraction form
   21,546/32,089.50 = 32,089.50/x
3. Step 3: Cross multiply
   21,546x = 32,089.50 × 32,089.50
4. Step 4: Simplify right side
   21,546x = 1,029,736,010.25
5. Step 5: Solve for x
   x = 1,029,736,010.25/21,546
6. Step 6: Final answer
   x = 47,792.44