Finding the Third Proportional to 32,050 and 69,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,050 : 69,628.50 = 69,628.50 : x
2. Step 2: Convert to fraction form
   32,050/69,628.50 = 69,628.50/x
3. Step 3: Cross multiply
   32,050x = 69,628.50 × 69,628.50
4. Step 4: Simplify right side
   32,050x = 4,848,128,012.25
5. Step 5: Solve for x
   x = 4,848,128,012.25/32,050
6. Step 6: Final answer
   x = 151,267.64