Finding the Third Proportional to 31,576.50 and 69,089.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,576.50 : 69,089.63 = 69,089.63 : x
2. Step 2: Convert to fraction form
   31,576.50/69,089.63 = 69,089.63/x
3. Step 3: Cross multiply
   31,576.50x = 69,089.63 × 69,089.63
4. Step 4: Simplify right side
   31,576.50x = 4,773,376,282.64
5. Step 5: Solve for x
   x = 4,773,376,282.64/31,576.50
6. Step 6: Final answer
   x = 151,168.63