Finding the Third Proportional to 32,223 and 47,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,223 : 47,458.50 = 47,458.50 : x
2. Step 2: Convert to fraction form
   32,223/47,458.50 = 47,458.50/x
3. Step 3: Cross multiply
   32,223x = 47,458.50 × 47,458.50
4. Step 4: Simplify right side
   32,223x = 2,252,309,222.25
5. Step 5: Solve for x
   x = 2,252,309,222.25/32,223
6. Step 6: Final answer
   x = 69,897.56