Finding the Third Proportional to 38,141.51 and 82,433.95

Step by Step Solution

1. Step 1: Write the proportion equation
   38,141.51 : 82,433.95 = 82,433.95 : x
2. Step 2: Convert to fraction form
   38,141.51/82,433.95 = 82,433.95/x
3. Step 3: Cross multiply
   38,141.51x = 82,433.95 × 82,433.95
4. Step 4: Simplify right side
   38,141.51x = 6,795,356,627.81
5. Step 5: Solve for x
   x = 6,795,356,627.81/38,141.51
6. Step 6: Final answer
   x = 178,161.72