Finding the Third Proportional to 31,959 and 69,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,959 : 69,685.50 = 69,685.50 : x
2. Step 2: Convert to fraction form
   31,959/69,685.50 = 69,685.50/x
3. Step 3: Cross multiply
   31,959x = 69,685.50 × 69,685.50
4. Step 4: Simplify right side
   31,959x = 4,856,068,910.25
5. Step 5: Solve for x
   x = 4,856,068,910.25/31,959
6. Step 6: Final answer
   x = 151,946.84