Finding the Third Proportional to 24,741 and 58,345

Step by Step Solution

1. Step 1: Write the proportion equation
   24,741 : 58,345 = 58,345 : x
2. Step 2: Convert to fraction form
   24,741/58,345 = 58,345/x
3. Step 3: Cross multiply
   24,741x = 58,345 × 58,345
4. Step 4: Simplify right side
   24,741x = 3,404,139,025
5. Step 5: Solve for x
   x = 3,404,139,025/24,741
6. Step 6: Final answer
   x = 137,591.00