Finding the Third Proportional to 32,415 and 41,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,415 : 41,416.50 = 41,416.50 : x
2. Step 2: Convert to fraction form
   32,415/41,416.50 = 41,416.50/x
3. Step 3: Cross multiply
   32,415x = 41,416.50 × 41,416.50
4. Step 4: Simplify right side
   32,415x = 1,715,326,472.25
5. Step 5: Solve for x
   x = 1,715,326,472.25/32,415
6. Step 6: Final answer
   x = 52,917.68