Finding the Third Proportional to 37,746 and 52,905.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 52,905.75 = 52,905.75 : x
2. Step 2: Convert to fraction form
   37,746/52,905.75 = 52,905.75/x
3. Step 3: Cross multiply
   37,746x = 52,905.75 × 52,905.75
4. Step 4: Simplify right side
   37,746x = 2,799,018,383.06
5. Step 5: Solve for x
   x = 2,799,018,383.06/37,746
6. Step 6: Final answer
   x = 74,154.04