Finding the Third Proportional to 13,527 and 31,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,527 : 31,375.50 = 31,375.50 : x
2. Step 2: Convert to fraction form
   13,527/31,375.50 = 31,375.50/x
3. Step 3: Cross multiply
   13,527x = 31,375.50 × 31,375.50
4. Step 4: Simplify right side
   13,527x = 984,422,000.25
5. Step 5: Solve for x
   x = 984,422,000.25/13,527
6. Step 6: Final answer
   x = 72,774.60