Finding the Third Proportional to 32,774.50 and 77,040

Step by Step Solution

1. Step 1: Write the proportion equation
   32,774.50 : 77,040 = 77,040 : x
2. Step 2: Convert to fraction form
   32,774.50/77,040 = 77,040/x
3. Step 3: Cross multiply
   32,774.50x = 77,040 × 77,040
4. Step 4: Simplify right side
   32,774.50x = 5,935,161,600
5. Step 5: Solve for x
   x = 5,935,161,600/32,774.50
6. Step 6: Final answer
   x = 181,090.84