Finding the Third Proportional to 27,085.64 and 35,948.81

Step by Step Solution

1. Step 1: Write the proportion equation
   27,085.64 : 35,948.81 = 35,948.81 : x
2. Step 2: Convert to fraction form
   27,085.64/35,948.81 = 35,948.81/x
3. Step 3: Cross multiply
   27,085.64x = 35,948.81 × 35,948.81
4. Step 4: Simplify right side
   27,085.64x = 1,292,317,120.16
5. Step 5: Solve for x
   x = 1,292,317,120.16/27,085.64
6. Step 6: Final answer
   x = 47,712.26