Finding the Third Proportional to 32,136.75 and 69,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,136.75 : 69,781.50 = 69,781.50 : x
2. Step 2: Convert to fraction form
   32,136.75/69,781.50 = 69,781.50/x
3. Step 3: Cross multiply
   32,136.75x = 69,781.50 × 69,781.50
4. Step 4: Simplify right side
   32,136.75x = 4,869,457,742.25
5. Step 5: Solve for x
   x = 4,869,457,742.25/32,136.75
6. Step 6: Final answer
   x = 151,523.03