Finding the Third Proportional to 37,561 and 58,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,561 : 58,139.50 = 58,139.50 : x
2. Step 2: Convert to fraction form
   37,561/58,139.50 = 58,139.50/x
3. Step 3: Cross multiply
   37,561x = 58,139.50 × 58,139.50
4. Step 4: Simplify right side
   37,561x = 3,380,201,460.25
5. Step 5: Solve for x
   x = 3,380,201,460.25/37,561
6. Step 6: Final answer
   x = 89,992.32