Finding the Third Proportional to 56,538 and 76,784

Step by Step Solution

1. Step 1: Write the proportion equation
   56,538 : 76,784 = 76,784 : x
2. Step 2: Convert to fraction form
   56,538/76,784 = 76,784/x
3. Step 3: Cross multiply
   56,538x = 76,784 × 76,784
4. Step 4: Simplify right side
   56,538x = 5,895,782,656
5. Step 5: Solve for x
   x = 5,895,782,656/56,538
6. Step 6: Final answer
   x = 104,280.00