Finding the Third Proportional to 31,454 and 45,884

Step by Step Solution

1. Step 1: Write the proportion equation
   31,454 : 45,884 = 45,884 : x
2. Step 2: Convert to fraction form
   31,454/45,884 = 45,884/x
3. Step 3: Cross multiply
   31,454x = 45,884 × 45,884
4. Step 4: Simplify right side
   31,454x = 2,105,341,456
5. Step 5: Solve for x
   x = 2,105,341,456/31,454
6. Step 6: Final answer
   x = 66,933.98