Finding the Third Proportional to 31,798.50 and 69,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,798.50 : 69,064.50 = 69,064.50 : x
2. Step 2: Convert to fraction form
   31,798.50/69,064.50 = 69,064.50/x
3. Step 3: Cross multiply
   31,798.50x = 69,064.50 × 69,064.50
4. Step 4: Simplify right side
   31,798.50x = 4,769,905,160.25
5. Step 5: Solve for x
   x = 4,769,905,160.25/31,798.50
6. Step 6: Final answer
   x = 150,004.09