Finding the Third Proportional to 35,664 and 76,389

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 76,389 = 76,389 : x
2. Step 2: Convert to fraction form
   35,664/76,389 = 76,389/x
3. Step 3: Cross multiply
   35,664x = 76,389 × 76,389
4. Step 4: Simplify right side
   35,664x = 5,835,279,321
5. Step 5: Solve for x
   x = 5,835,279,321/35,664
6. Step 6: Final answer
   x = 163,618.20