Finding the Third Proportional to 38,823 and 91,710

Step by Step Solution

1. Step 1: Write the proportion equation
   38,823 : 91,710 = 91,710 : x
2. Step 2: Convert to fraction form
   38,823/91,710 = 91,710/x
3. Step 3: Cross multiply
   38,823x = 91,710 × 91,710
4. Step 4: Simplify right side
   38,823x = 8,410,724,100
5. Step 5: Solve for x
   x = 8,410,724,100/38,823
6. Step 6: Final answer
   x = 216,642.82