Finding the Third Proportional to 31,970.25 and 69,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,970.25 : 69,664.50 = 69,664.50 : x
2. Step 2: Convert to fraction form
   31,970.25/69,664.50 = 69,664.50/x
3. Step 3: Cross multiply
   31,970.25x = 69,664.50 × 69,664.50
4. Step 4: Simplify right side
   31,970.25x = 4,853,142,560.25
5. Step 5: Solve for x
   x = 4,853,142,560.25/31,970.25
6. Step 6: Final answer
   x = 151,801.83