Finding the Third Proportional to 35,194 and 55,726

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194 : 55,726 = 55,726 : x
2. Step 2: Convert to fraction form
   35,194/55,726 = 55,726/x
3. Step 3: Cross multiply
   35,194x = 55,726 × 55,726
4. Step 4: Simplify right side
   35,194x = 3,105,387,076
5. Step 5: Solve for x
   x = 3,105,387,076/35,194
6. Step 6: Final answer
   x = 88,236.26