Finding the Third Proportional to 39,963 and 83,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,963 : 83,752.50 = 83,752.50 : x
2. Step 2: Convert to fraction form
   39,963/83,752.50 = 83,752.50/x
3. Step 3: Cross multiply
   39,963x = 83,752.50 × 83,752.50
4. Step 4: Simplify right side
   39,963x = 7,014,481,256.25
5. Step 5: Solve for x
   x = 7,014,481,256.25/39,963
6. Step 6: Final answer
   x = 175,524.39