Finding the Third Proportional to 31,653 and 49,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,653 : 49,009.50 = 49,009.50 : x
2. Step 2: Convert to fraction form
   31,653/49,009.50 = 49,009.50/x
3. Step 3: Cross multiply
   31,653x = 49,009.50 × 49,009.50
4. Step 4: Simplify right side
   31,653x = 2,401,931,090.25
5. Step 5: Solve for x
   x = 2,401,931,090.25/31,653
6. Step 6: Final answer
   x = 75,883.21