Finding the Third Proportional to 51,838 and 73,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,838 : 73,412.50 = 73,412.50 : x
2. Step 2: Convert to fraction form
   51,838/73,412.50 = 73,412.50/x
3. Step 3: Cross multiply
   51,838x = 73,412.50 × 73,412.50
4. Step 4: Simplify right side
   51,838x = 5,389,395,156.25
5. Step 5: Solve for x
   x = 5,389,395,156.25/51,838
6. Step 6: Final answer
   x = 103,966.11