Finding the Third Proportional to 48,535.50 and 75,395.25

Step by Step Solution

1. Step 1: Write the proportion equation
   48,535.50 : 75,395.25 = 75,395.25 : x
2. Step 2: Convert to fraction form
   48,535.50/75,395.25 = 75,395.25/x
3. Step 3: Cross multiply
   48,535.50x = 75,395.25 × 75,395.25
4. Step 4: Simplify right side
   48,535.50x = 5,684,443,722.56
5. Step 5: Solve for x
   x = 5,684,443,722.56/48,535.50
6. Step 6: Final answer
   x = 117,119.30