Finding the Third Proportional to 32,186 and 47,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,186 : 47,126.50 = 47,126.50 : x
2. Step 2: Convert to fraction form
   32,186/47,126.50 = 47,126.50/x
3. Step 3: Cross multiply
   32,186x = 47,126.50 × 47,126.50
4. Step 4: Simplify right side
   32,186x = 2,220,907,002.25
5. Step 5: Solve for x
   x = 2,220,907,002.25/32,186
6. Step 6: Final answer
   x = 69,002.27