Finding the Third Proportional to 1,166.50 and 1,897

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.50 : 1,897 = 1,897 : x
2. Step 2: Convert to fraction form
   1,166.50/1,897 = 1,897/x
3. Step 3: Cross multiply
   1,166.50x = 1,897 × 1,897
4. Step 4: Simplify right side
   1,166.50x = 3,598,609
5. Step 5: Solve for x
   x = 3,598,609/1,166.50
6. Step 6: Final answer
   x = 3,084.96