Finding the Third Proportional to 11,548 and 24,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,548 : 24,897.50 = 24,897.50 : x
2. Step 2: Convert to fraction form
   11,548/24,897.50 = 24,897.50/x
3. Step 3: Cross multiply
   11,548x = 24,897.50 × 24,897.50
4. Step 4: Simplify right side
   11,548x = 619,885,506.25
5. Step 5: Solve for x
   x = 619,885,506.25/11,548
6. Step 6: Final answer
   x = 53,679.04