Finding the Third Proportional to 31,202 and 50,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,202 : 50,264.50 = 50,264.50 : x
2. Step 2: Convert to fraction form
   31,202/50,264.50 = 50,264.50/x
3. Step 3: Cross multiply
   31,202x = 50,264.50 × 50,264.50
4. Step 4: Simplify right side
   31,202x = 2,526,519,960.25
5. Step 5: Solve for x
   x = 2,526,519,960.25/31,202
6. Step 6: Final answer
   x = 80,973.01