Finding the Third Proportional to 1,262.25 and 1,916.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.25 : 1,916.16 = 1,916.16 : x
2. Step 2: Convert to fraction form
   1,262.25/1,916.16 = 1,916.16/x
3. Step 3: Cross multiply
   1,262.25x = 1,916.16 × 1,916.16
4. Step 4: Simplify right side
   1,262.25x = 3,671,654.77
5. Step 5: Solve for x
   x = 3,671,654.77/1,262.25
6. Step 6: Final answer
   x = 2,908.82