Finding the Third Proportional to 31,892.50 and 69,833

Step by Step Solution

1. Step 1: Write the proportion equation
   31,892.50 : 69,833 = 69,833 : x
2. Step 2: Convert to fraction form
   31,892.50/69,833 = 69,833/x
3. Step 3: Cross multiply
   31,892.50x = 69,833 × 69,833
4. Step 4: Simplify right side
   31,892.50x = 4,876,647,889
5. Step 5: Solve for x
   x = 4,876,647,889/31,892.50
6. Step 6: Final answer
   x = 152,908.92