Finding the Third Proportional to 23,748 and 31,875.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,748 : 31,875.75 = 31,875.75 : x
2. Step 2: Convert to fraction form
   23,748/31,875.75 = 31,875.75/x
3. Step 3: Cross multiply
   23,748x = 31,875.75 × 31,875.75
4. Step 4: Simplify right side
   23,748x = 1,016,063,438.06
5. Step 5: Solve for x
   x = 1,016,063,438.06/23,748
6. Step 6: Final answer
   x = 42,785.22