Finding the Third Proportional to 27,906 and 42,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,906 : 42,508.50 = 42,508.50 : x
2. Step 2: Convert to fraction form
   27,906/42,508.50 = 42,508.50/x
3. Step 3: Cross multiply
   27,906x = 42,508.50 × 42,508.50
4. Step 4: Simplify right side
   27,906x = 1,806,972,572.25
5. Step 5: Solve for x
   x = 1,806,972,572.25/27,906
6. Step 6: Final answer
   x = 64,752.12