Finding the Third Proportional to 38,644 and 61,422

Step by Step Solution

1. Step 1: Write the proportion equation
   38,644 : 61,422 = 61,422 : x
2. Step 2: Convert to fraction form
   38,644/61,422 = 61,422/x
3. Step 3: Cross multiply
   38,644x = 61,422 × 61,422
4. Step 4: Simplify right side
   38,644x = 3,772,662,084
5. Step 5: Solve for x
   x = 3,772,662,084/38,644
6. Step 6: Final answer
   x = 97,626.08