Finding the Third Proportional to 31,644 and 69,558.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 69,558.75 = 69,558.75 : x
2. Step 2: Convert to fraction form
   31,644/69,558.75 = 69,558.75/x
3. Step 3: Cross multiply
   31,644x = 69,558.75 × 69,558.75
4. Step 4: Simplify right side
   31,644x = 4,838,419,701.56
5. Step 5: Solve for x
   x = 4,838,419,701.56/31,644
6. Step 6: Final answer
   x = 152,901.65