Finding the Third Proportional to 31,136 and 47,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,136 : 47,028.50 = 47,028.50 : x
2. Step 2: Convert to fraction form
   31,136/47,028.50 = 47,028.50/x
3. Step 3: Cross multiply
   31,136x = 47,028.50 × 47,028.50
4. Step 4: Simplify right side
   31,136x = 2,211,679,812.25
5. Step 5: Solve for x
   x = 2,211,679,812.25/31,136
6. Step 6: Final answer
   x = 71,032.88