Finding the Third Proportional to 22,420 and 32,980

Step by Step Solution

1. Step 1: Write the proportion equation
   22,420 : 32,980 = 32,980 : x
2. Step 2: Convert to fraction form
   22,420/32,980 = 32,980/x
3. Step 3: Cross multiply
   22,420x = 32,980 × 32,980
4. Step 4: Simplify right side
   22,420x = 1,087,680,400
5. Step 5: Solve for x
   x = 1,087,680,400/22,420
6. Step 6: Final answer
   x = 48,513.84