Finding the Third Proportional to 32,214 and 48,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,214 : 48,766.50 = 48,766.50 : x
2. Step 2: Convert to fraction form
   32,214/48,766.50 = 48,766.50/x
3. Step 3: Cross multiply
   32,214x = 48,766.50 × 48,766.50
4. Step 4: Simplify right side
   32,214x = 2,378,171,522.25
5. Step 5: Solve for x
   x = 2,378,171,522.25/32,214
6. Step 6: Final answer
   x = 73,824.16