Finding the Third Proportional to 35,582.50 and 76,663

Step by Step Solution

1. Step 1: Write the proportion equation
   35,582.50 : 76,663 = 76,663 : x
2. Step 2: Convert to fraction form
   35,582.50/76,663 = 76,663/x
3. Step 3: Cross multiply
   35,582.50x = 76,663 × 76,663
4. Step 4: Simplify right side
   35,582.50x = 5,877,215,569
5. Step 5: Solve for x
   x = 5,877,215,569/35,582.50
6. Step 6: Final answer
   x = 165,171.52