Finding the Third Proportional to 55.69 and 78.47

Step by Step Solution

1. Step 1: Write the proportion equation
   55.69 : 78.47 = 78.47 : x
2. Step 2: Convert to fraction form
   55.69/78.47 = 78.47/x
3. Step 3: Cross multiply
   55.69x = 78.47 × 78.47
4. Step 4: Simplify right side
   55.69x = 6,157.34
5. Step 5: Solve for x
   x = 6,157.34/55.69
6. Step 6: Final answer
   x = 110.57