Finding the Third Proportional to 37,699 and 58,341

Step by Step Solution

1. Step 1: Write the proportion equation
   37,699 : 58,341 = 58,341 : x
2. Step 2: Convert to fraction form
   37,699/58,341 = 58,341/x
3. Step 3: Cross multiply
   37,699x = 58,341 × 58,341
4. Step 4: Simplify right side
   37,699x = 3,403,672,281
5. Step 5: Solve for x
   x = 3,403,672,281/37,699
6. Step 6: Final answer
   x = 90,285.48