Finding the Third Proportional to 32,091 and 43,212

Step by Step Solution

1. Step 1: Write the proportion equation
   32,091 : 43,212 = 43,212 : x
2. Step 2: Convert to fraction form
   32,091/43,212 = 43,212/x
3. Step 3: Cross multiply
   32,091x = 43,212 × 43,212
4. Step 4: Simplify right side
   32,091x = 1,867,276,944
5. Step 5: Solve for x
   x = 1,867,276,944/32,091
6. Step 6: Final answer
   x = 58,186.94