Finding the Third Proportional to 32,096.25 and 69,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096.25 : 69,133.50 = 69,133.50 : x
2. Step 2: Convert to fraction form
   32,096.25/69,133.50 = 69,133.50/x
3. Step 3: Cross multiply
   32,096.25x = 69,133.50 × 69,133.50
4. Step 4: Simplify right side
   32,096.25x = 4,779,440,822.25
5. Step 5: Solve for x
   x = 4,779,440,822.25/32,096.25
6. Step 6: Final answer
   x = 148,909.63