Finding the Third Proportional to 49,806 and 74,896.88

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 74,896.88 = 74,896.88 : x
2. Step 2: Convert to fraction form
   49,806/74,896.88 = 74,896.88/x
3. Step 3: Cross multiply
   49,806x = 74,896.88 × 74,896.88
4. Step 4: Simplify right side
   49,806x = 5,609,541,884.77
5. Step 5: Solve for x
   x = 5,609,541,884.77/49,806
6. Step 6: Final answer
   x = 112,627.83