Finding the Third Proportional to 34,618.31 and 75,311.63

Step by Step Solution

1. Step 1: Write the proportion equation
   34,618.31 : 75,311.63 = 75,311.63 : x
2. Step 2: Convert to fraction form
   34,618.31/75,311.63 = 75,311.63/x
3. Step 3: Cross multiply
   34,618.31x = 75,311.63 × 75,311.63
4. Step 4: Simplify right side
   34,618.31x = 5,671,840,860.14
5. Step 5: Solve for x
   x = 5,671,840,860.14/34,618.31
6. Step 6: Final answer
   x = 163,839.32