Finding the Third Proportional to 31,536 and 47,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 47,308.50 = 47,308.50 : x
2. Step 2: Convert to fraction form
   31,536/47,308.50 = 47,308.50/x
3. Step 3: Cross multiply
   31,536x = 47,308.50 × 47,308.50
4. Step 4: Simplify right side
   31,536x = 2,238,094,172.25
5. Step 5: Solve for x
   x = 2,238,094,172.25/31,536
6. Step 6: Final answer
   x = 70,969.50