Finding the Third Proportional to 55,838 and 83,875

Step by Step Solution

1. Step 1: Write the proportion equation
   55,838 : 83,875 = 83,875 : x
2. Step 2: Convert to fraction form
   55,838/83,875 = 83,875/x
3. Step 3: Cross multiply
   55,838x = 83,875 × 83,875
4. Step 4: Simplify right side
   55,838x = 7,035,015,625
5. Step 5: Solve for x
   x = 7,035,015,625/55,838
6. Step 6: Final answer
   x = 125,989.75