Finding the Third Proportional to 35,107.13 and 76,461.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,107.13 : 76,461.38 = 76,461.38 : x
2. Step 2: Convert to fraction form
   35,107.13/76,461.38 = 76,461.38/x
3. Step 3: Cross multiply
   35,107.13x = 76,461.38 × 76,461.38
4. Step 4: Simplify right side
   35,107.13x = 5,846,341,866.89
5. Step 5: Solve for x
   x = 5,846,341,866.89/35,107.13
6. Step 6: Final answer
   x = 166,528.64