Finding the Third Proportional to 47,194 and 71,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,194 : 71,395.50 = 71,395.50 : x
2. Step 2: Convert to fraction form
   47,194/71,395.50 = 71,395.50/x
3. Step 3: Cross multiply
   47,194x = 71,395.50 × 71,395.50
4. Step 4: Simplify right side
   47,194x = 5,097,317,420.25
5. Step 5: Solve for x
   x = 5,097,317,420.25/47,194
6. Step 6: Final answer
   x = 108,007.74