Finding the Third Proportional to 22,258 and 34,368

Step by Step Solution

1. Step 1: Write the proportion equation
   22,258 : 34,368 = 34,368 : x
2. Step 2: Convert to fraction form
   22,258/34,368 = 34,368/x
3. Step 3: Cross multiply
   22,258x = 34,368 × 34,368
4. Step 4: Simplify right side
   22,258x = 1,181,159,424
5. Step 5: Solve for x
   x = 1,181,159,424/22,258
6. Step 6: Final answer
   x = 53,066.74