Finding the Third Proportional to 13.84 and 32.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13.84 : 32.50 = 32.50 : x
2. Step 2: Convert to fraction form
   13.84/32.50 = 32.50/x
3. Step 3: Cross multiply
   13.84x = 32.50 × 32.50
4. Step 4: Simplify right side
   13.84x = 1,056.54
5. Step 5: Solve for x
   x = 1,056.54/13.84
6. Step 6: Final answer
   x = 76.31