Finding the Third Proportional to 32,074 and 47,967

Step by Step Solution

1. Step 1: Write the proportion equation
   32,074 : 47,967 = 47,967 : x
2. Step 2: Convert to fraction form
   32,074/47,967 = 47,967/x
3. Step 3: Cross multiply
   32,074x = 47,967 × 47,967
4. Step 4: Simplify right side
   32,074x = 2,300,833,089
5. Step 5: Solve for x
   x = 2,300,833,089/32,074
6. Step 6: Final answer
   x = 71,735.15