Finding the Third Proportional to 47,500 and 73,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,500 : 73,546.50 = 73,546.50 : x
2. Step 2: Convert to fraction form
   47,500/73,546.50 = 73,546.50/x
3. Step 3: Cross multiply
   47,500x = 73,546.50 × 73,546.50
4. Step 4: Simplify right side
   47,500x = 5,409,087,662.25
5. Step 5: Solve for x
   x = 5,409,087,662.25/47,500
6. Step 6: Final answer
   x = 113,875.53