Finding the Third Proportional to 32,914 and 71,297

Step by Step Solution

1. Step 1: Write the proportion equation
   32,914 : 71,297 = 71,297 : x
2. Step 2: Convert to fraction form
   32,914/71,297 = 71,297/x
3. Step 3: Cross multiply
   32,914x = 71,297 × 71,297
4. Step 4: Simplify right side
   32,914x = 5,083,262,209
5. Step 5: Solve for x
   x = 5,083,262,209/32,914
6. Step 6: Final answer
   x = 154,440.73