Finding the Third Proportional to 35,562 and 78,282.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,562 : 78,282.75 = 78,282.75 : x
2. Step 2: Convert to fraction form
   35,562/78,282.75 = 78,282.75/x
3. Step 3: Cross multiply
   35,562x = 78,282.75 × 78,282.75
4. Step 4: Simplify right side
   35,562x = 6,128,188,947.56
5. Step 5: Solve for x
   x = 6,128,188,947.56/35,562
6. Step 6: Final answer
   x = 172,324.08