Finding the Third Proportional to 41,644.13 and 89,985.94

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644.13 : 89,985.94 = 89,985.94 : x
2. Step 2: Convert to fraction form
   41,644.13/89,985.94 = 89,985.94/x
3. Step 3: Cross multiply
   41,644.13x = 89,985.94 × 89,985.94
4. Step 4: Simplify right side
   41,644.13x = 8,097,468,947.75
5. Step 5: Solve for x
   x = 8,097,468,947.75/41,644.13
6. Step 6: Final answer
   x = 194,444.45