Finding the Third Proportional to 34,493.50 and 75,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,493.50 : 75,760.50 = 75,760.50 : x
2. Step 2: Convert to fraction form
   34,493.50/75,760.50 = 75,760.50/x
3. Step 3: Cross multiply
   34,493.50x = 75,760.50 × 75,760.50
4. Step 4: Simplify right side
   34,493.50x = 5,739,653,360.25
5. Step 5: Solve for x
   x = 5,739,653,360.25/34,493.50
6. Step 6: Final answer
   x = 166,398.11