Finding the Third Proportional to 42,678 and 56,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 56,632.50 = 56,632.50 : x
2. Step 2: Convert to fraction form
   42,678/56,632.50 = 56,632.50/x
3. Step 3: Cross multiply
   42,678x = 56,632.50 × 56,632.50
4. Step 4: Simplify right side
   42,678x = 3,207,240,056.25
5. Step 5: Solve for x
   x = 3,207,240,056.25/42,678
6. Step 6: Final answer
   x = 75,149.73