Finding the Third Proportional to 31,738.50 and 69,703.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,738.50 : 69,703.88 = 69,703.88 : x
2. Step 2: Convert to fraction form
   31,738.50/69,703.88 = 69,703.88/x
3. Step 3: Cross multiply
   31,738.50x = 69,703.88 × 69,703.88
4. Step 4: Simplify right side
   31,738.50x = 4,858,630,190.02
5. Step 5: Solve for x
   x = 4,858,630,190.02/31,738.50
6. Step 6: Final answer
   x = 153,083.17