Finding the Third Proportional to 12,988.50 and 31,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,988.50 : 31,404.75 = 31,404.75 : x
2. Step 2: Convert to fraction form
   12,988.50/31,404.75 = 31,404.75/x
3. Step 3: Cross multiply
   12,988.50x = 31,404.75 × 31,404.75
4. Step 4: Simplify right side
   12,988.50x = 986,258,322.56
5. Step 5: Solve for x
   x = 986,258,322.56/12,988.50
6. Step 6: Final answer
   x = 75,933.20