Finding the Third Proportional to 35.63 and 76.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35.63 : 76.50 = 76.50 : x
2. Step 2: Convert to fraction form
   35.63/76.50 = 76.50/x
3. Step 3: Cross multiply
   35.63x = 76.50 × 76.50
4. Step 4: Simplify right side
   35.63x = 5,852.25
5. Step 5: Solve for x
   x = 5,852.25/35.63
6. Step 6: Final answer
   x = 164.27