Finding the Third Proportional to 31,849.50 and 69,237

Step by Step Solution

1. Step 1: Write the proportion equation
   31,849.50 : 69,237 = 69,237 : x
2. Step 2: Convert to fraction form
   31,849.50/69,237 = 69,237/x
3. Step 3: Cross multiply
   31,849.50x = 69,237 × 69,237
4. Step 4: Simplify right side
   31,849.50x = 4,793,762,169
5. Step 5: Solve for x
   x = 4,793,762,169/31,849.50
6. Step 6: Final answer
   x = 150,512.95