Finding the Third Proportional to 35,138.81 and 75,299.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,138.81 : 75,299.63 = 75,299.63 : x
2. Step 2: Convert to fraction form
   35,138.81/75,299.63 = 75,299.63/x
3. Step 3: Cross multiply
   35,138.81x = 75,299.63 × 75,299.63
4. Step 4: Simplify right side
   35,138.81x = 5,670,033,525.14
5. Step 5: Solve for x
   x = 5,670,033,525.14/35,138.81
6. Step 6: Final answer
   x = 161,360.99