Finding the Third Proportional to 22,424 and 32,986

Step by Step Solution

1. Step 1: Write the proportion equation
   22,424 : 32,986 = 32,986 : x
2. Step 2: Convert to fraction form
   22,424/32,986 = 32,986/x
3. Step 3: Cross multiply
   22,424x = 32,986 × 32,986
4. Step 4: Simplify right side
   22,424x = 1,088,076,196
5. Step 5: Solve for x
   x = 1,088,076,196/22,424
6. Step 6: Final answer
   x = 48,522.84