Finding the Third Proportional to 34,431 and 53,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,431 : 53,165.25 = 53,165.25 : x
2. Step 2: Convert to fraction form
   34,431/53,165.25 = 53,165.25/x
3. Step 3: Cross multiply
   34,431x = 53,165.25 × 53,165.25
4. Step 4: Simplify right side
   34,431x = 2,826,543,807.56
5. Step 5: Solve for x
   x = 2,826,543,807.56/34,431
6. Step 6: Final answer
   x = 82,092.99