Finding the Third Proportional to 31,261 and 46,895

Step by Step Solution

1. Step 1: Write the proportion equation
   31,261 : 46,895 = 46,895 : x
2. Step 2: Convert to fraction form
   31,261/46,895 = 46,895/x
3. Step 3: Cross multiply
   31,261x = 46,895 × 46,895
4. Step 4: Simplify right side
   31,261x = 2,199,141,025
5. Step 5: Solve for x
   x = 2,199,141,025/31,261
6. Step 6: Final answer
   x = 70,347.75