Finding the Third Proportional to 31,288.50 and 65,165.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,288.50 : 65,165.63 = 65,165.63 : x
2. Step 2: Convert to fraction form
   31,288.50/65,165.63 = 65,165.63/x
3. Step 3: Cross multiply
   31,288.50x = 65,165.63 × 65,165.63
4. Step 4: Simplify right side
   31,288.50x = 4,246,558,681.64
5. Step 5: Solve for x
   x = 4,246,558,681.64/31,288.50
6. Step 6: Final answer
   x = 135,722.67