Finding the Third Proportional to 1,465.59 and 2,348.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.59 : 2,348.16 = 2,348.16 : x
2. Step 2: Convert to fraction form
   1,465.59/2,348.16 = 2,348.16/x
3. Step 3: Cross multiply
   1,465.59x = 2,348.16 × 2,348.16
4. Step 4: Simplify right side
   1,465.59x = 5,513,837.77
5. Step 5: Solve for x
   x = 5,513,837.77/1,465.59
6. Step 6: Final answer
   x = 3,762.19