Finding the Third Proportional to 31,826 and 69,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 69,767.50 = 69,767.50 : x
2. Step 2: Convert to fraction form
   31,826/69,767.50 = 69,767.50/x
3. Step 3: Cross multiply
   31,826x = 69,767.50 × 69,767.50
4. Step 4: Simplify right side
   31,826x = 4,867,504,056.25
5. Step 5: Solve for x
   x = 4,867,504,056.25/31,826
6. Step 6: Final answer
   x = 152,941.12