Finding the Third Proportional to 49,098 and 75,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,098 : 75,073.50 = 75,073.50 : x
2. Step 2: Convert to fraction form
   49,098/75,073.50 = 75,073.50/x
3. Step 3: Cross multiply
   49,098x = 75,073.50 × 75,073.50
4. Step 4: Simplify right side
   49,098x = 5,636,030,402.25
5. Step 5: Solve for x
   x = 5,636,030,402.25/49,098
6. Step 6: Final answer
   x = 114,791.45