Finding the Third Proportional to 49,413 and 74,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,413 : 74,554.50 = 74,554.50 : x
2. Step 2: Convert to fraction form
   49,413/74,554.50 = 74,554.50/x
3. Step 3: Cross multiply
   49,413x = 74,554.50 × 74,554.50
4. Step 4: Simplify right side
   49,413x = 5,558,373,470.25
5. Step 5: Solve for x
   x = 5,558,373,470.25/49,413
6. Step 6: Final answer
   x = 112,488.08