Finding the Third Proportional to 31,380 and 46,023

Step by Step Solution

1. Step 1: Write the proportion equation
   31,380 : 46,023 = 46,023 : x
2. Step 2: Convert to fraction form
   31,380/46,023 = 46,023/x
3. Step 3: Cross multiply
   31,380x = 46,023 × 46,023
4. Step 4: Simplify right side
   31,380x = 2,118,116,529
5. Step 5: Solve for x
   x = 2,118,116,529/31,380
6. Step 6: Final answer
   x = 67,498.93