Finding the Third Proportional to 33,894.50 and 51,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,894.50 : 51,532.50 = 51,532.50 : x
2. Step 2: Convert to fraction form
   33,894.50/51,532.50 = 51,532.50/x
3. Step 3: Cross multiply
   33,894.50x = 51,532.50 × 51,532.50
4. Step 4: Simplify right side
   33,894.50x = 2,655,598,556.25
5. Step 5: Solve for x
   x = 2,655,598,556.25/33,894.50
6. Step 6: Final answer
   x = 78,348.95