Finding the Third Proportional to 31,731.75 and 67,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,731.75 : 67,837.50 = 67,837.50 : x
2. Step 2: Convert to fraction form
   31,731.75/67,837.50 = 67,837.50/x
3. Step 3: Cross multiply
   31,731.75x = 67,837.50 × 67,837.50
4. Step 4: Simplify right side
   31,731.75x = 4,601,926,406.25
5. Step 5: Solve for x
   x = 4,601,926,406.25/31,731.75
6. Step 6: Final answer
   x = 145,025.93