Finding the Third Proportional to 47,784 and 74,140

Step by Step Solution

1. Step 1: Write the proportion equation
   47,784 : 74,140 = 74,140 : x
2. Step 2: Convert to fraction form
   47,784/74,140 = 74,140/x
3. Step 3: Cross multiply
   47,784x = 74,140 × 74,140
4. Step 4: Simplify right side
   47,784x = 5,496,739,600
5. Step 5: Solve for x
   x = 5,496,739,600/47,784
6. Step 6: Final answer
   x = 115,033.06