Finding the Third Proportional to 401.63 and 871.88

Step by Step Solution

1. Step 1: Write the proportion equation
   401.63 : 871.88 = 871.88 : x
2. Step 2: Convert to fraction form
   401.63/871.88 = 871.88/x
3. Step 3: Cross multiply
   401.63x = 871.88 × 871.88
4. Step 4: Simplify right side
   401.63x = 760,166.02
5. Step 5: Solve for x
   x = 760,166.02/401.63
6. Step 6: Final answer
   x = 1,892.73