Finding the Third Proportional to 33,040 and 53,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,040 : 53,199.50 = 53,199.50 : x
2. Step 2: Convert to fraction form
   33,040/53,199.50 = 53,199.50/x
3. Step 3: Cross multiply
   33,040x = 53,199.50 × 53,199.50
4. Step 4: Simplify right side
   33,040x = 2,830,186,800.25
5. Step 5: Solve for x
   x = 2,830,186,800.25/33,040
6. Step 6: Final answer
   x = 85,659.41