Finding the Third Proportional to 67.50 and 101.63

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 101.63 = 101.63 : x
2. Step 2: Convert to fraction form
   67.50/101.63 = 101.63/x
3. Step 3: Cross multiply
   67.50x = 101.63 × 101.63
4. Step 4: Simplify right side
   67.50x = 10,327.64
5. Step 5: Solve for x
   x = 10,327.64/67.50
6. Step 6: Final answer
   x = 153.00