Finding the Third Proportional to 21,594 and 46,980

Step by Step Solution

1. Step 1: Write the proportion equation
   21,594 : 46,980 = 46,980 : x
2. Step 2: Convert to fraction form
   21,594/46,980 = 46,980/x
3. Step 3: Cross multiply
   21,594x = 46,980 × 46,980
4. Step 4: Simplify right side
   21,594x = 2,207,120,400
5. Step 5: Solve for x
   x = 2,207,120,400/21,594
6. Step 6: Final answer
   x = 102,209.89