Finding the Third Proportional to 1,537.31 and 2,316.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.31 : 2,316.94 = 2,316.94 : x
2. Step 2: Convert to fraction form
   1,537.31/2,316.94 = 2,316.94/x
3. Step 3: Cross multiply
   1,537.31x = 2,316.94 × 2,316.94
4. Step 4: Simplify right side
   1,537.31x = 5,368,199.38
5. Step 5: Solve for x
   x = 5,368,199.38/1,537.31
6. Step 6: Final answer
   x = 3,491.94