Finding the Third Proportional to 31,623.75 and 47,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,623.75 : 47,353.50 = 47,353.50 : x
2. Step 2: Convert to fraction form
   31,623.75/47,353.50 = 47,353.50/x
3. Step 3: Cross multiply
   31,623.75x = 47,353.50 × 47,353.50
4. Step 4: Simplify right side
   31,623.75x = 2,242,353,962.25
5. Step 5: Solve for x
   x = 2,242,353,962.25/31,623.75
6. Step 6: Final answer
   x = 70,907.28