Finding the Third Proportional to 47,580 and 74,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,580 : 74,092.50 = 74,092.50 : x
2. Step 2: Convert to fraction form
   47,580/74,092.50 = 74,092.50/x
3. Step 3: Cross multiply
   47,580x = 74,092.50 × 74,092.50
4. Step 4: Simplify right side
   47,580x = 5,489,698,556.25
5. Step 5: Solve for x
   x = 5,489,698,556.25/47,580
6. Step 6: Final answer
   x = 115,378.28