Finding the Third Proportional to 30,766 and 46,140

Step by Step Solution

1. Step 1: Write the proportion equation
   30,766 : 46,140 = 46,140 : x
2. Step 2: Convert to fraction form
   30,766/46,140 = 46,140/x
3. Step 3: Cross multiply
   30,766x = 46,140 × 46,140
4. Step 4: Simplify right side
   30,766x = 2,128,899,600
5. Step 5: Solve for x
   x = 2,128,899,600/30,766
6. Step 6: Final answer
   x = 69,196.50