Finding the Third Proportional to 35,106.75 and 76,773.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,106.75 : 76,773.38 = 76,773.38 : x
2. Step 2: Convert to fraction form
   35,106.75/76,773.38 = 76,773.38/x
3. Step 3: Cross multiply
   35,106.75x = 76,773.38 × 76,773.38
4. Step 4: Simplify right side
   35,106.75x = 5,894,151,108.89
5. Step 5: Solve for x
   x = 5,894,151,108.89/35,106.75
6. Step 6: Final answer
   x = 167,892.25