Finding the Third Proportional to 47,182.50 and 73,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,182.50 : 73,642.50 = 73,642.50 : x
2. Step 2: Convert to fraction form
   47,182.50/73,642.50 = 73,642.50/x
3. Step 3: Cross multiply
   47,182.50x = 73,642.50 × 73,642.50
4. Step 4: Simplify right side
   47,182.50x = 5,423,217,806.25
5. Step 5: Solve for x
   x = 5,423,217,806.25/47,182.50
6. Step 6: Final answer
   x = 114,941.30