Finding the Third Proportional to 49,101 and 75,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,101 : 75,568.50 = 75,568.50 : x
2. Step 2: Convert to fraction form
   49,101/75,568.50 = 75,568.50/x
3. Step 3: Cross multiply
   49,101x = 75,568.50 × 75,568.50
4. Step 4: Simplify right side
   49,101x = 5,710,598,192.25
5. Step 5: Solve for x
   x = 5,710,598,192.25/49,101
6. Step 6: Final answer
   x = 116,303.09