Finding the Third Proportional to 35,883 and 49,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,883 : 49,258.50 = 49,258.50 : x
2. Step 2: Convert to fraction form
   35,883/49,258.50 = 49,258.50/x
3. Step 3: Cross multiply
   35,883x = 49,258.50 × 49,258.50
4. Step 4: Simplify right side
   35,883x = 2,426,399,822.25
5. Step 5: Solve for x
   x = 2,426,399,822.25/35,883
6. Step 6: Final answer
   x = 67,619.76