Finding the Third Proportional to 23,406 and 37,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,406 : 37,207.50 = 37,207.50 : x
2. Step 2: Convert to fraction form
   23,406/37,207.50 = 37,207.50/x
3. Step 3: Cross multiply
   23,406x = 37,207.50 × 37,207.50
4. Step 4: Simplify right side
   23,406x = 1,384,398,056.25
5. Step 5: Solve for x
   x = 1,384,398,056.25/23,406
6. Step 6: Final answer
   x = 59,147.14