Finding the Third Proportional to 47,648 and 70,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,648 : 70,045.50 = 70,045.50 : x
2. Step 2: Convert to fraction form
   47,648/70,045.50 = 70,045.50/x
3. Step 3: Cross multiply
   47,648x = 70,045.50 × 70,045.50
4. Step 4: Simplify right side
   47,648x = 4,906,372,070.25
5. Step 5: Solve for x
   x = 4,906,372,070.25/47,648
6. Step 6: Final answer
   x = 102,971.21