Finding the Third Proportional to 31,783 and 69,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,783 : 69,913.50 = 69,913.50 : x
2. Step 2: Convert to fraction form
   31,783/69,913.50 = 69,913.50/x
3. Step 3: Cross multiply
   31,783x = 69,913.50 × 69,913.50
4. Step 4: Simplify right side
   31,783x = 4,887,897,482.25
5. Step 5: Solve for x
   x = 4,887,897,482.25/31,783
6. Step 6: Final answer
   x = 153,789.68