Finding the Third Proportional to 34,429.50 and 75,411

Step by Step Solution

1. Step 1: Write the proportion equation
   34,429.50 : 75,411 = 75,411 : x
2. Step 2: Convert to fraction form
   34,429.50/75,411 = 75,411/x
3. Step 3: Cross multiply
   34,429.50x = 75,411 × 75,411
4. Step 4: Simplify right side
   34,429.50x = 5,686,818,921
5. Step 5: Solve for x
   x = 5,686,818,921/34,429.50
6. Step 6: Final answer
   x = 165,172.86