Finding the Third Proportional to 37,566 and 58,506

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566 : 58,506 = 58,506 : x
2. Step 2: Convert to fraction form
   37,566/58,506 = 58,506/x
3. Step 3: Cross multiply
   37,566x = 58,506 × 58,506
4. Step 4: Simplify right side
   37,566x = 3,422,952,036
5. Step 5: Solve for x
   x = 3,422,952,036/37,566
6. Step 6: Final answer
   x = 91,118.35