Finding the Third Proportional to 21,580 and 46,960

Step by Step Solution

1. Step 1: Write the proportion equation
   21,580 : 46,960 = 46,960 : x
2. Step 2: Convert to fraction form
   21,580/46,960 = 46,960/x
3. Step 3: Cross multiply
   21,580x = 46,960 × 46,960
4. Step 4: Simplify right side
   21,580x = 2,205,241,600
5. Step 5: Solve for x
   x = 2,205,241,600/21,580
6. Step 6: Final answer
   x = 102,189.14