Finding the Third Proportional to 32,258.75 and 69,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,258.75 : 69,620.50 = 69,620.50 : x
2. Step 2: Convert to fraction form
   32,258.75/69,620.50 = 69,620.50/x
3. Step 3: Cross multiply
   32,258.75x = 69,620.50 × 69,620.50
4. Step 4: Simplify right side
   32,258.75x = 4,847,014,020.25
5. Step 5: Solve for x
   x = 4,847,014,020.25/32,258.75
6. Step 6: Final answer
   x = 150,254.24