Finding the Third Proportional to 31,661 and 47,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,661 : 47,003.50 = 47,003.50 : x
2. Step 2: Convert to fraction form
   31,661/47,003.50 = 47,003.50/x
3. Step 3: Cross multiply
   31,661x = 47,003.50 × 47,003.50
4. Step 4: Simplify right side
   31,661x = 2,209,329,012.25
5. Step 5: Solve for x
   x = 2,209,329,012.25/31,661
6. Step 6: Final answer
   x = 69,780.77