Finding the Third Proportional to 9,186 and 19,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186 : 19,897.50 = 19,897.50 : x
2. Step 2: Convert to fraction form
   9,186/19,897.50 = 19,897.50/x
3. Step 3: Cross multiply
   9,186x = 19,897.50 × 19,897.50
4. Step 4: Simplify right side
   9,186x = 395,910,506.25
5. Step 5: Solve for x
   x = 395,910,506.25/9,186
6. Step 6: Final answer
   x = 43,099.34