Finding the Third Proportional to 34,338 and 53,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,338 : 53,140.50 = 53,140.50 : x
2. Step 2: Convert to fraction form
   34,338/53,140.50 = 53,140.50/x
3. Step 3: Cross multiply
   34,338x = 53,140.50 × 53,140.50
4. Step 4: Simplify right side
   34,338x = 2,823,912,740.25
5. Step 5: Solve for x
   x = 2,823,912,740.25/34,338
6. Step 6: Final answer
   x = 82,238.71