Finding the Third Proportional to 40.31 and 64.10

Step by Step Solution

1. Step 1: Write the proportion equation
   40.31 : 64.10 = 64.10 : x
2. Step 2: Convert to fraction form
   40.31/64.10 = 64.10/x
3. Step 3: Cross multiply
   40.31x = 64.10 × 64.10
4. Step 4: Simplify right side
   40.31x = 4,109.01
5. Step 5: Solve for x
   x = 4,109.01/40.31
6. Step 6: Final answer
   x = 101.93