Finding the Third Proportional to 35,748 and 76,422

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 76,422 = 76,422 : x
2. Step 2: Convert to fraction form
   35,748/76,422 = 76,422/x
3. Step 3: Cross multiply
   35,748x = 76,422 × 76,422
4. Step 4: Simplify right side
   35,748x = 5,840,322,084
5. Step 5: Solve for x
   x = 5,840,322,084/35,748
6. Step 6: Final answer
   x = 163,374.79