Finding the Third Proportional to 48,768 and 72,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,768 : 72,952.50 = 72,952.50 : x
2. Step 2: Convert to fraction form
   48,768/72,952.50 = 72,952.50/x
3. Step 3: Cross multiply
   48,768x = 72,952.50 × 72,952.50
4. Step 4: Simplify right side
   48,768x = 5,322,067,256.25
5. Step 5: Solve for x
   x = 5,322,067,256.25/48,768
6. Step 6: Final answer
   x = 109,130.32