Finding the Third Proportional to 13,035 and 31,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,035 : 31,507.50 = 31,507.50 : x
2. Step 2: Convert to fraction form
   13,035/31,507.50 = 31,507.50/x
3. Step 3: Cross multiply
   13,035x = 31,507.50 × 31,507.50
4. Step 4: Simplify right side
   13,035x = 992,722,556.25
5. Step 5: Solve for x
   x = 992,722,556.25/13,035
6. Step 6: Final answer
   x = 76,158.23