Finding the Third Proportional to 35,146 and 56,212

Step by Step Solution

1. Step 1: Write the proportion equation
   35,146 : 56,212 = 56,212 : x
2. Step 2: Convert to fraction form
   35,146/56,212 = 56,212/x
3. Step 3: Cross multiply
   35,146x = 56,212 × 56,212
4. Step 4: Simplify right side
   35,146x = 3,159,788,944
5. Step 5: Solve for x
   x = 3,159,788,944/35,146
6. Step 6: Final answer
   x = 89,904.65