Finding the Third Proportional to 34,490 and 53,422

Step by Step Solution

1. Step 1: Write the proportion equation
   34,490 : 53,422 = 53,422 : x
2. Step 2: Convert to fraction form
   34,490/53,422 = 53,422/x
3. Step 3: Cross multiply
   34,490x = 53,422 × 53,422
4. Step 4: Simplify right side
   34,490x = 2,853,910,084
5. Step 5: Solve for x
   x = 2,853,910,084/34,490
6. Step 6: Final answer
   x = 82,746.02