Finding the Third Proportional to 31,782 and 69,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 69,911.50 = 69,911.50 : x
2. Step 2: Convert to fraction form
   31,782/69,911.50 = 69,911.50/x
3. Step 3: Cross multiply
   31,782x = 69,911.50 × 69,911.50
4. Step 4: Simplify right side
   31,782x = 4,887,617,832.25
5. Step 5: Solve for x
   x = 4,887,617,832.25/31,782
6. Step 6: Final answer
   x = 153,785.72