Finding the Third Proportional to 32,069 and 74,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,069 : 74,231.50 = 74,231.50 : x
2. Step 2: Convert to fraction form
   32,069/74,231.50 = 74,231.50/x
3. Step 3: Cross multiply
   32,069x = 74,231.50 × 74,231.50
4. Step 4: Simplify right side
   32,069x = 5,510,315,592.25
5. Step 5: Solve for x
   x = 5,510,315,592.25/32,069
6. Step 6: Final answer
   x = 171,826.86