Finding the Third Proportional to 53.20 and 78.12

Step by Step Solution

1. Step 1: Write the proportion equation
   53.20 : 78.12 = 78.12 : x
2. Step 2: Convert to fraction form
   53.20/78.12 = 78.12/x
3. Step 3: Cross multiply
   53.20x = 78.12 × 78.12
4. Step 4: Simplify right side
   53.20x = 6,102.29
5. Step 5: Solve for x
   x = 6,102.29/53.20
6. Step 6: Final answer
   x = 114.70