Finding the Third Proportional to 32,253.75 and 75,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,253.75 : 75,889.50 = 75,889.50 : x
2. Step 2: Convert to fraction form
   32,253.75/75,889.50 = 75,889.50/x
3. Step 3: Cross multiply
   32,253.75x = 75,889.50 × 75,889.50
4. Step 4: Simplify right side
   32,253.75x = 5,759,216,210.25
5. Step 5: Solve for x
   x = 5,759,216,210.25/32,253.75
6. Step 6: Final answer
   x = 178,559.58