Finding the Third Proportional to 49,830 and 74,889

Step by Step Solution

1. Step 1: Write the proportion equation
   49,830 : 74,889 = 74,889 : x
2. Step 2: Convert to fraction form
   49,830/74,889 = 74,889/x
3. Step 3: Cross multiply
   49,830x = 74,889 × 74,889
4. Step 4: Simplify right side
   49,830x = 5,608,362,321
5. Step 5: Solve for x
   x = 5,608,362,321/49,830
6. Step 6: Final answer
   x = 112,549.92