Finding the Third Proportional to 35,826 and 78,024

Step by Step Solution

1. Step 1: Write the proportion equation
   35,826 : 78,024 = 78,024 : x
2. Step 2: Convert to fraction form
   35,826/78,024 = 78,024/x
3. Step 3: Cross multiply
   35,826x = 78,024 × 78,024
4. Step 4: Simplify right side
   35,826x = 6,087,744,576
5. Step 5: Solve for x
   x = 6,087,744,576/35,826
6. Step 6: Final answer
   x = 169,925.32