Finding the Third Proportional to 35,563.50 and 48,222

Step by Step Solution

1. Step 1: Write the proportion equation
   35,563.50 : 48,222 = 48,222 : x
2. Step 2: Convert to fraction form
   35,563.50/48,222 = 48,222/x
3. Step 3: Cross multiply
   35,563.50x = 48,222 × 48,222
4. Step 4: Simplify right side
   35,563.50x = 2,325,361,284
5. Step 5: Solve for x
   x = 2,325,361,284/35,563.50
6. Step 6: Final answer
   x = 65,386.18