Finding the Third Proportional to 53.50 and 83.94

Step by Step Solution

1. Step 1: Write the proportion equation
   53.50 : 83.94 = 83.94 : x
2. Step 2: Convert to fraction form
   53.50/83.94 = 83.94/x
3. Step 3: Cross multiply
   53.50x = 83.94 × 83.94
4. Step 4: Simplify right side
   53.50x = 7,045.50
5. Step 5: Solve for x
   x = 7,045.50/53.50
6. Step 6: Final answer
   x = 131.69