Finding the Third Proportional to 46,509 and 69,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,509 : 69,943.50 = 69,943.50 : x
2. Step 2: Convert to fraction form
   46,509/69,943.50 = 69,943.50/x
3. Step 3: Cross multiply
   46,509x = 69,943.50 × 69,943.50
4. Step 4: Simplify right side
   46,509x = 4,892,093,192.25
5. Step 5: Solve for x
   x = 4,892,093,192.25/46,509
6. Step 6: Final answer
   x = 105,185.95