Finding the Third Proportional to 64.64 and 100.55

Step by Step Solution

1. Step 1: Write the proportion equation
   64.64 : 100.55 = 100.55 : x
2. Step 2: Convert to fraction form
   64.64/100.55 = 100.55/x
3. Step 3: Cross multiply
   64.64x = 100.55 × 100.55
4. Step 4: Simplify right side
   64.64x = 10,109.67
5. Step 5: Solve for x
   x = 10,109.67/64.64
6. Step 6: Final answer
   x = 156.40