Finding the Third Proportional to 32,040 and 49,784

Step by Step Solution

1. Step 1: Write the proportion equation
   32,040 : 49,784 = 49,784 : x
2. Step 2: Convert to fraction form
   32,040/49,784 = 49,784/x
3. Step 3: Cross multiply
   32,040x = 49,784 × 49,784
4. Step 4: Simplify right side
   32,040x = 2,478,446,656
5. Step 5: Solve for x
   x = 2,478,446,656/32,040
6. Step 6: Final answer
   x = 77,354.76