Finding the Third Proportional to 35,746.50 and 78,162

Step by Step Solution

1. Step 1: Write the proportion equation
   35,746.50 : 78,162 = 78,162 : x
2. Step 2: Convert to fraction form
   35,746.50/78,162 = 78,162/x
3. Step 3: Cross multiply
   35,746.50x = 78,162 × 78,162
4. Step 4: Simplify right side
   35,746.50x = 6,109,298,244
5. Step 5: Solve for x
   x = 6,109,298,244/35,746.50
6. Step 6: Final answer
   x = 170,906.19