Finding the Third Proportional to 31,884 and 69,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,884 : 69,811.50 = 69,811.50 : x
2. Step 2: Convert to fraction form
   31,884/69,811.50 = 69,811.50/x
3. Step 3: Cross multiply
   31,884x = 69,811.50 × 69,811.50
4. Step 4: Simplify right side
   31,884x = 4,873,645,532.25
5. Step 5: Solve for x
   x = 4,873,645,532.25/31,884
6. Step 6: Final answer
   x = 152,855.52