Finding the Third Proportional to 47,938.50 and 75,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,938.50 : 75,037.50 = 75,037.50 : x
2. Step 2: Convert to fraction form
   47,938.50/75,037.50 = 75,037.50/x
3. Step 3: Cross multiply
   47,938.50x = 75,037.50 × 75,037.50
4. Step 4: Simplify right side
   47,938.50x = 5,630,626,406.25
5. Step 5: Solve for x
   x = 5,630,626,406.25/47,938.50
6. Step 6: Final answer
   x = 117,455.21