Finding the Third Proportional to 31,970.81 and 50,153.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,970.81 : 50,153.63 = 50,153.63 : x
2. Step 2: Convert to fraction form
   31,970.81/50,153.63 = 50,153.63/x
3. Step 3: Cross multiply
   31,970.81x = 50,153.63 × 50,153.63
4. Step 4: Simplify right side
   31,970.81x = 2,515,386,100.64
5. Step 5: Solve for x
   x = 2,515,386,100.64/31,970.81
6. Step 6: Final answer
   x = 78,677.58