Finding the Third Proportional to 33,760.13 and 78,158.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,760.13 : 78,158.25 = 78,158.25 : x
2. Step 2: Convert to fraction form
   33,760.13/78,158.25 = 78,158.25/x
3. Step 3: Cross multiply
   33,760.13x = 78,158.25 × 78,158.25
4. Step 4: Simplify right side
   33,760.13x = 6,108,712,043.06
5. Step 5: Solve for x
   x = 6,108,712,043.06/33,760.13
6. Step 6: Final answer
   x = 180,944.59