Finding the Third Proportional to 22,766 and 34,840

Step by Step Solution

1. Step 1: Write the proportion equation
   22,766 : 34,840 = 34,840 : x
2. Step 2: Convert to fraction form
   22,766/34,840 = 34,840/x
3. Step 3: Cross multiply
   22,766x = 34,840 × 34,840
4. Step 4: Simplify right side
   22,766x = 1,213,825,600
5. Step 5: Solve for x
   x = 1,213,825,600/22,766
6. Step 6: Final answer
   x = 53,317.47