Finding the Third Proportional to 21,875 and 32,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,875 : 32,805.50 = 32,805.50 : x
2. Step 2: Convert to fraction form
   21,875/32,805.50 = 32,805.50/x
3. Step 3: Cross multiply
   21,875x = 32,805.50 × 32,805.50
4. Step 4: Simplify right side
   21,875x = 1,076,200,830.25
5. Step 5: Solve for x
   x = 1,076,200,830.25/21,875
6. Step 6: Final answer
   x = 49,197.75