Finding the Third Proportional to 32,076 and 74,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,076 : 74,245.50 = 74,245.50 : x
2. Step 2: Convert to fraction form
   32,076/74,245.50 = 74,245.50/x
3. Step 3: Cross multiply
   32,076x = 74,245.50 × 74,245.50
4. Step 4: Simplify right side
   32,076x = 5,512,394,270.25
5. Step 5: Solve for x
   x = 5,512,394,270.25/32,076
6. Step 6: Final answer
   x = 171,854.17