Finding the Third Proportional to 30,174 and 46,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,174 : 46,627.50 = 46,627.50 : x
2. Step 2: Convert to fraction form
   30,174/46,627.50 = 46,627.50/x
3. Step 3: Cross multiply
   30,174x = 46,627.50 × 46,627.50
4. Step 4: Simplify right side
   30,174x = 2,174,123,756.25
5. Step 5: Solve for x
   x = 2,174,123,756.25/30,174
6. Step 6: Final answer
   x = 72,052.89