Finding the Third Proportional to 32,258 and 71,428

Step by Step Solution

1. Step 1: Write the proportion equation
   32,258 : 71,428 = 71,428 : x
2. Step 2: Convert to fraction form
   32,258/71,428 = 71,428/x
3. Step 3: Cross multiply
   32,258x = 71,428 × 71,428
4. Step 4: Simplify right side
   32,258x = 5,101,959,184
5. Step 5: Solve for x
   x = 5,101,959,184/32,258
6. Step 6: Final answer
   x = 158,161.05