Finding the Third Proportional to 35,642 and 55,448

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642 : 55,448 = 55,448 : x
2. Step 2: Convert to fraction form
   35,642/55,448 = 55,448/x
3. Step 3: Cross multiply
   35,642x = 55,448 × 55,448
4. Step 4: Simplify right side
   35,642x = 3,074,480,704
5. Step 5: Solve for x
   x = 3,074,480,704/35,642
6. Step 6: Final answer
   x = 86,260.05