Finding the Third Proportional to 33,541.88 and 71,780.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,541.88 : 71,780.63 = 71,780.63 : x
2. Step 2: Convert to fraction form
   33,541.88/71,780.63 = 71,780.63/x
3. Step 3: Cross multiply
   33,541.88x = 71,780.63 × 71,780.63
4. Step 4: Simplify right side
   33,541.88x = 5,152,458,125.39
5. Step 5: Solve for x
   x = 5,152,458,125.39/33,541.88
6. Step 6: Final answer
   x = 153,612.70