Finding the Third Proportional to 38,223 and 56,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,223 : 56,209.50 = 56,209.50 : x
2. Step 2: Convert to fraction form
   38,223/56,209.50 = 56,209.50/x
3. Step 3: Cross multiply
   38,223x = 56,209.50 × 56,209.50
4. Step 4: Simplify right side
   38,223x = 3,159,507,890.25
5. Step 5: Solve for x
   x = 3,159,507,890.25/38,223
6. Step 6: Final answer
   x = 82,659.86