Finding the Third Proportional to 49,906 and 75,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,906 : 75,061.50 = 75,061.50 : x
2. Step 2: Convert to fraction form
   49,906/75,061.50 = 75,061.50/x
3. Step 3: Cross multiply
   49,906x = 75,061.50 × 75,061.50
4. Step 4: Simplify right side
   49,906x = 5,634,228,782.25
5. Step 5: Solve for x
   x = 5,634,228,782.25/49,906
6. Step 6: Final answer
   x = 112,896.82