Finding the Third Proportional to 22,085 and 32,827

Step by Step Solution

1. Step 1: Write the proportion equation
   22,085 : 32,827 = 32,827 : x
2. Step 2: Convert to fraction form
   22,085/32,827 = 32,827/x
3. Step 3: Cross multiply
   22,085x = 32,827 × 32,827
4. Step 4: Simplify right side
   22,085x = 1,077,611,929
5. Step 5: Solve for x
   x = 1,077,611,929/22,085
6. Step 6: Final answer
   x = 48,793.84