Finding the Third Proportional to 40,686.50 and 64,724

Step by Step Solution

1. Step 1: Write the proportion equation
   40,686.50 : 64,724 = 64,724 : x
2. Step 2: Convert to fraction form
   40,686.50/64,724 = 64,724/x
3. Step 3: Cross multiply
   40,686.50x = 64,724 × 64,724
4. Step 4: Simplify right side
   40,686.50x = 4,189,196,176
5. Step 5: Solve for x
   x = 4,189,196,176/40,686.50
6. Step 6: Final answer
   x = 102,962.81