Finding the Third Proportional to 31,386 and 46,536

Step by Step Solution

1. Step 1: Write the proportion equation
   31,386 : 46,536 = 46,536 : x
2. Step 2: Convert to fraction form
   31,386/46,536 = 46,536/x
3. Step 3: Cross multiply
   31,386x = 46,536 × 46,536
4. Step 4: Simplify right side
   31,386x = 2,165,599,296
5. Step 5: Solve for x
   x = 2,165,599,296/31,386
6. Step 6: Final answer
   x = 68,998.89