Finding the Third Proportional to 31,674 and 50,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 50,152.50 = 50,152.50 : x
2. Step 2: Convert to fraction form
   31,674/50,152.50 = 50,152.50/x
3. Step 3: Cross multiply
   31,674x = 50,152.50 × 50,152.50
4. Step 4: Simplify right side
   31,674x = 2,515,273,256.25
5. Step 5: Solve for x
   x = 2,515,273,256.25/31,674
6. Step 6: Final answer
   x = 79,411.29