Finding the Third Proportional to 32,035.50 and 76,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,035.50 : 76,513.50 = 76,513.50 : x
2. Step 2: Convert to fraction form
   32,035.50/76,513.50 = 76,513.50/x
3. Step 3: Cross multiply
   32,035.50x = 76,513.50 × 76,513.50
4. Step 4: Simplify right side
   32,035.50x = 5,854,315,682.25
5. Step 5: Solve for x
   x = 5,854,315,682.25/32,035.50
6. Step 6: Final answer
   x = 182,744.63