Finding the Third Proportional to 31,812 and 69,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,812 : 69,091.50 = 69,091.50 : x
2. Step 2: Convert to fraction form
   31,812/69,091.50 = 69,091.50/x
3. Step 3: Cross multiply
   31,812x = 69,091.50 × 69,091.50
4. Step 4: Simplify right side
   31,812x = 4,773,635,372.25
5. Step 5: Solve for x
   x = 4,773,635,372.25/31,812
6. Step 6: Final answer
   x = 150,057.69