Finding the Third Proportional to 53.16 and 78.47

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 78.47 = 78.47 : x
2. Step 2: Convert to fraction form
   53.16/78.47 = 78.47/x
3. Step 3: Cross multiply
   53.16x = 78.47 × 78.47
4. Step 4: Simplify right side
   53.16x = 6,157.34
5. Step 5: Solve for x
   x = 6,157.34/53.16
6. Step 6: Final answer
   x = 115.83