Finding the Third Proportional to 32,653.50 and 52,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,653.50 : 52,138.50 = 52,138.50 : x
2. Step 2: Convert to fraction form
   32,653.50/52,138.50 = 52,138.50/x
3. Step 3: Cross multiply
   32,653.50x = 52,138.50 × 52,138.50
4. Step 4: Simplify right side
   32,653.50x = 2,718,423,182.25
5. Step 5: Solve for x
   x = 2,718,423,182.25/32,653.50
6. Step 6: Final answer
   x = 83,250.59