Finding the Third Proportional to 33,682.50 and 51,549.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682.50 : 51,549.75 = 51,549.75 : x
2. Step 2: Convert to fraction form
   33,682.50/51,549.75 = 51,549.75/x
3. Step 3: Cross multiply
   33,682.50x = 51,549.75 × 51,549.75
4. Step 4: Simplify right side
   33,682.50x = 2,657,376,725.06
5. Step 5: Solve for x
   x = 2,657,376,725.06/33,682.50
6. Step 6: Final answer
   x = 78,894.88