Finding the Third Proportional to 32,913 and 71,361

Step by Step Solution

1. Step 1: Write the proportion equation
   32,913 : 71,361 = 71,361 : x
2. Step 2: Convert to fraction form
   32,913/71,361 = 71,361/x
3. Step 3: Cross multiply
   32,913x = 71,361 × 71,361
4. Step 4: Simplify right side
   32,913x = 5,092,392,321
5. Step 5: Solve for x
   x = 5,092,392,321/32,913
6. Step 6: Final answer
   x = 154,722.82