Finding the Third Proportional to 53.47 and 76.46

Step by Step Solution

1. Step 1: Write the proportion equation
   53.47 : 76.46 = 76.46 : x
2. Step 2: Convert to fraction form
   53.47/76.46 = 76.46/x
3. Step 3: Cross multiply
   53.47x = 76.46 × 76.46
4. Step 4: Simplify right side
   53.47x = 5,846.27
5. Step 5: Solve for x
   x = 5,846.27/53.47
6. Step 6: Final answer
   x = 109.34