Finding the Third Proportional to 31,765.50 and 65,637

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765.50 : 65,637 = 65,637 : x
2. Step 2: Convert to fraction form
   31,765.50/65,637 = 65,637/x
3. Step 3: Cross multiply
   31,765.50x = 65,637 × 65,637
4. Step 4: Simplify right side
   31,765.50x = 4,308,215,769
5. Step 5: Solve for x
   x = 4,308,215,769/31,765.50
6. Step 6: Final answer
   x = 135,625.62