Finding the Third Proportional to 36,553.88 and 78,546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,553.88 : 78,546.75 = 78,546.75 : x
2. Step 2: Convert to fraction form
   36,553.88/78,546.75 = 78,546.75/x
3. Step 3: Cross multiply
   36,553.88x = 78,546.75 × 78,546.75
4. Step 4: Simplify right side
   36,553.88x = 6,169,591,935.56
5. Step 5: Solve for x
   x = 6,169,591,935.56/36,553.88
6. Step 6: Final answer
   x = 168,780.79