Finding the Third Proportional to 35,538.75 and 75,709.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 75,709.69 = 75,709.69 : x
2. Step 2: Convert to fraction form
   35,538.75/75,709.69 = 75,709.69/x
3. Step 3: Cross multiply
   35,538.75x = 75,709.69 × 75,709.69
4. Step 4: Simplify right side
   35,538.75x = 5,731,956,781.35
5. Step 5: Solve for x
   x = 5,731,956,781.35/35,538.75
6. Step 6: Final answer
   x = 161,287.52