Finding the Third Proportional to 34,366.50 and 75,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,366.50 : 75,190.50 = 75,190.50 : x
2. Step 2: Convert to fraction form
   34,366.50/75,190.50 = 75,190.50/x
3. Step 3: Cross multiply
   34,366.50x = 75,190.50 × 75,190.50
4. Step 4: Simplify right side
   34,366.50x = 5,653,611,290.25
5. Step 5: Solve for x
   x = 5,653,611,290.25/34,366.50
6. Step 6: Final answer
   x = 164,509.37