Finding the Third Proportional to 31,014 and 47,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,014 : 47,935.50 = 47,935.50 : x
2. Step 2: Convert to fraction form
   31,014/47,935.50 = 47,935.50/x
3. Step 3: Cross multiply
   31,014x = 47,935.50 × 47,935.50
4. Step 4: Simplify right side
   31,014x = 2,297,812,160.25
5. Step 5: Solve for x
   x = 2,297,812,160.25/31,014
6. Step 6: Final answer
   x = 74,089.51