Finding the Third Proportional to 35,802 and 76,584

Step by Step Solution

1. Step 1: Write the proportion equation
   35,802 : 76,584 = 76,584 : x
2. Step 2: Convert to fraction form
   35,802/76,584 = 76,584/x
3. Step 3: Cross multiply
   35,802x = 76,584 × 76,584
4. Step 4: Simplify right side
   35,802x = 5,865,109,056
5. Step 5: Solve for x
   x = 5,865,109,056/35,802
6. Step 6: Final answer
   x = 163,820.71