Finding the Third Proportional to 32,001.50 and 69,826

Step by Step Solution

1. Step 1: Write the proportion equation
   32,001.50 : 69,826 = 69,826 : x
2. Step 2: Convert to fraction form
   32,001.50/69,826 = 69,826/x
3. Step 3: Cross multiply
   32,001.50x = 69,826 × 69,826
4. Step 4: Simplify right side
   32,001.50x = 4,875,670,276
5. Step 5: Solve for x
   x = 4,875,670,276/32,001.50
6. Step 6: Final answer
   x = 152,357.55