Finding the Third Proportional to 47,491.50 and 75,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,491.50 : 75,199.50 = 75,199.50 : x
2. Step 2: Convert to fraction form
   47,491.50/75,199.50 = 75,199.50/x
3. Step 3: Cross multiply
   47,491.50x = 75,199.50 × 75,199.50
4. Step 4: Simplify right side
   47,491.50x = 5,654,964,800.25
5. Step 5: Solve for x
   x = 5,654,964,800.25/47,491.50
6. Step 6: Final answer
   x = 119,073.20