Finding the Third Proportional to 32,541.75 and 67,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,541.75 : 67,027.50 = 67,027.50 : x
2. Step 2: Convert to fraction form
   32,541.75/67,027.50 = 67,027.50/x
3. Step 3: Cross multiply
   32,541.75x = 67,027.50 × 67,027.50
4. Step 4: Simplify right side
   32,541.75x = 4,492,685,756.25
5. Step 5: Solve for x
   x = 4,492,685,756.25/32,541.75
6. Step 6: Final answer
   x = 138,059.13