Finding the Third Proportional to 35,095 and 55,148

Step by Step Solution

1. Step 1: Write the proportion equation
   35,095 : 55,148 = 55,148 : x
2. Step 2: Convert to fraction form
   35,095/55,148 = 55,148/x
3. Step 3: Cross multiply
   35,095x = 55,148 × 55,148
4. Step 4: Simplify right side
   35,095x = 3,041,301,904
5. Step 5: Solve for x
   x = 3,041,301,904/35,095
6. Step 6: Final answer
   x = 86,659.12