Finding the Third Proportional to 31,764 and 69,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 69,751.50 = 69,751.50 : x
2. Step 2: Convert to fraction form
   31,764/69,751.50 = 69,751.50/x
3. Step 3: Cross multiply
   31,764x = 69,751.50 × 69,751.50
4. Step 4: Simplify right side
   31,764x = 4,865,271,752.25
5. Step 5: Solve for x
   x = 4,865,271,752.25/31,764
6. Step 6: Final answer
   x = 153,169.37