Finding the Third Proportional to 41,970 and 64,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,970 : 64,048.50 = 64,048.50 : x
2. Step 2: Convert to fraction form
   41,970/64,048.50 = 64,048.50/x
3. Step 3: Cross multiply
   41,970x = 64,048.50 × 64,048.50
4. Step 4: Simplify right side
   41,970x = 4,102,210,352.25
5. Step 5: Solve for x
   x = 4,102,210,352.25/41,970
6. Step 6: Final answer
   x = 97,741.49