Finding the Third Proportional to 56.85 and 91.34

Step by Step Solution

1. Step 1: Write the proportion equation
   56.85 : 91.34 = 91.34 : x
2. Step 2: Convert to fraction form
   56.85/91.34 = 91.34/x
3. Step 3: Cross multiply
   56.85x = 91.34 × 91.34
4. Step 4: Simplify right side
   56.85x = 8,342.25
5. Step 5: Solve for x
   x = 8,342.25/56.85
6. Step 6: Final answer
   x = 146.75