Finding the Third Proportional to 30,178.50 and 49,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,178.50 : 49,534.50 = 49,534.50 : x
2. Step 2: Convert to fraction form
   30,178.50/49,534.50 = 49,534.50/x
3. Step 3: Cross multiply
   30,178.50x = 49,534.50 × 49,534.50
4. Step 4: Simplify right side
   30,178.50x = 2,453,666,690.25
5. Step 5: Solve for x
   x = 2,453,666,690.25/30,178.50
6. Step 6: Final answer
   x = 81,305.12