Finding the Third Proportional to 35,626.50 and 76,026

Step by Step Solution

1. Step 1: Write the proportion equation
   35,626.50 : 76,026 = 76,026 : x
2. Step 2: Convert to fraction form
   35,626.50/76,026 = 76,026/x
3. Step 3: Cross multiply
   35,626.50x = 76,026 × 76,026
4. Step 4: Simplify right side
   35,626.50x = 5,779,952,676
5. Step 5: Solve for x
   x = 5,779,952,676/35,626.50
6. Step 6: Final answer
   x = 162,237.45