Finding the Third Proportional to 32,197.75 and 47,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,197.75 : 47,365.50 = 47,365.50 : x
2. Step 2: Convert to fraction form
   32,197.75/47,365.50 = 47,365.50/x
3. Step 3: Cross multiply
   32,197.75x = 47,365.50 × 47,365.50
4. Step 4: Simplify right side
   32,197.75x = 2,243,490,590.25
5. Step 5: Solve for x
   x = 2,243,490,590.25/32,197.75
6. Step 6: Final answer
   x = 69,678.49