Finding the Third Proportional to 31,114 and 46,894

Step by Step Solution

1. Step 1: Write the proportion equation
   31,114 : 46,894 = 46,894 : x
2. Step 2: Convert to fraction form
   31,114/46,894 = 46,894/x
3. Step 3: Cross multiply
   31,114x = 46,894 × 46,894
4. Step 4: Simplify right side
   31,114x = 2,199,047,236
5. Step 5: Solve for x
   x = 2,199,047,236/31,114
6. Step 6: Final answer
   x = 70,677.10