Finding the Third Proportional to 54,902 and 74,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,902 : 74,576.50 = 74,576.50 : x
2. Step 2: Convert to fraction form
   54,902/74,576.50 = 74,576.50/x
3. Step 3: Cross multiply
   54,902x = 74,576.50 × 74,576.50
4. Step 4: Simplify right side
   54,902x = 5,561,654,352.25
5. Step 5: Solve for x
   x = 5,561,654,352.25/54,902
6. Step 6: Final answer
   x = 101,301.49