Finding the Third Proportional to 32.91 and 78.05

Step by Step Solution

1. Step 1: Write the proportion equation
   32.91 : 78.05 = 78.05 : x
2. Step 2: Convert to fraction form
   32.91/78.05 = 78.05/x
3. Step 3: Cross multiply
   32.91x = 78.05 × 78.05
4. Step 4: Simplify right side
   32.91x = 6,091.31
5. Step 5: Solve for x
   x = 6,091.31/32.91
6. Step 6: Final answer
   x = 185.11