Finding the Third Proportional to 31,645 and 46,980

Step by Step Solution

1. Step 1: Write the proportion equation
   31,645 : 46,980 = 46,980 : x
2. Step 2: Convert to fraction form
   31,645/46,980 = 46,980/x
3. Step 3: Cross multiply
   31,645x = 46,980 × 46,980
4. Step 4: Simplify right side
   31,645x = 2,207,120,400
5. Step 5: Solve for x
   x = 2,207,120,400/31,645
6. Step 6: Final answer
   x = 69,746.26