Finding the Third Proportional to 46,164 and 69,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,164 : 69,166.50 = 69,166.50 : x
2. Step 2: Convert to fraction form
   46,164/69,166.50 = 69,166.50/x
3. Step 3: Cross multiply
   46,164x = 69,166.50 × 69,166.50
4. Step 4: Simplify right side
   46,164x = 4,784,004,722.25
5. Step 5: Solve for x
   x = 4,784,004,722.25/46,164
6. Step 6: Final answer
   x = 103,630.64