Finding the Third Proportional to 37,641 and 58,251

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641 : 58,251 = 58,251 : x
2. Step 2: Convert to fraction form
   37,641/58,251 = 58,251/x
3. Step 3: Cross multiply
   37,641x = 58,251 × 58,251
4. Step 4: Simplify right side
   37,641x = 3,393,179,001
5. Step 5: Solve for x
   x = 3,393,179,001/37,641
6. Step 6: Final answer
   x = 90,145.83