Finding the Third Proportional to 32,984 and 67,120

Step by Step Solution

1. Step 1: Write the proportion equation
   32,984 : 67,120 = 67,120 : x
2. Step 2: Convert to fraction form
   32,984/67,120 = 67,120/x
3. Step 3: Cross multiply
   32,984x = 67,120 × 67,120
4. Step 4: Simplify right side
   32,984x = 4,505,094,400
5. Step 5: Solve for x
   x = 4,505,094,400/32,984
6. Step 6: Final answer
   x = 136,584.23