Finding the Third Proportional to 23,142 and 45,132

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 45,132 = 45,132 : x
2. Step 2: Convert to fraction form
   23,142/45,132 = 45,132/x
3. Step 3: Cross multiply
   23,142x = 45,132 × 45,132
4. Step 4: Simplify right side
   23,142x = 2,036,897,424
5. Step 5: Solve for x
   x = 2,036,897,424/23,142
6. Step 6: Final answer
   x = 88,017.35