Finding the Third Proportional to 34,740.75 and 75,837.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740.75 : 75,837.38 = 75,837.38 : x
2. Step 2: Convert to fraction form
   34,740.75/75,837.38 = 75,837.38/x
3. Step 3: Cross multiply
   34,740.75x = 75,837.38 × 75,837.38
4. Step 4: Simplify right side
   34,740.75x = 5,751,307,446.89
5. Step 5: Solve for x
   x = 5,751,307,446.89/34,740.75
6. Step 6: Final answer
   x = 165,549.32