Finding the Third Proportional to 32,235 and 69,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,235 : 69,231.50 = 69,231.50 : x
2. Step 2: Convert to fraction form
   32,235/69,231.50 = 69,231.50/x
3. Step 3: Cross multiply
   32,235x = 69,231.50 × 69,231.50
4. Step 4: Simplify right side
   32,235x = 4,793,000,592.25
5. Step 5: Solve for x
   x = 4,793,000,592.25/32,235
6. Step 6: Final answer
   x = 148,689.33