Finding the Third Proportional to 11,583 and 25,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,583 : 25,393.50 = 25,393.50 : x
2. Step 2: Convert to fraction form
   11,583/25,393.50 = 25,393.50/x
3. Step 3: Cross multiply
   11,583x = 25,393.50 × 25,393.50
4. Step 4: Simplify right side
   11,583x = 644,829,842.25
5. Step 5: Solve for x
   x = 644,829,842.25/11,583
6. Step 6: Final answer
   x = 55,670.37