Finding the Third Proportional to 23,705 and 31,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,705 : 31,807.50 = 31,807.50 : x
2. Step 2: Convert to fraction form
   23,705/31,807.50 = 31,807.50/x
3. Step 3: Cross multiply
   23,705x = 31,807.50 × 31,807.50
4. Step 4: Simplify right side
   23,705x = 1,011,717,056.25
5. Step 5: Solve for x
   x = 1,011,717,056.25/23,705
6. Step 6: Final answer
   x = 42,679.48