Finding the Third Proportional to 7,977.38 and 17,539.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,977.38 : 17,539.31 = 17,539.31 : x
2. Step 2: Convert to fraction form
   7,977.38/17,539.31 = 17,539.31/x
3. Step 3: Cross multiply
   7,977.38x = 17,539.31 × 17,539.31
4. Step 4: Simplify right side
   7,977.38x = 307,627,482.97
5. Step 5: Solve for x
   x = 307,627,482.97/7,977.38
6. Step 6: Final answer
   x = 38,562.49