Finding the Third Proportional to 37,730 and 56,598

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 56,598 = 56,598 : x
2. Step 2: Convert to fraction form
   37,730/56,598 = 56,598/x
3. Step 3: Cross multiply
   37,730x = 56,598 × 56,598
4. Step 4: Simplify right side
   37,730x = 3,203,333,604
5. Step 5: Solve for x
   x = 3,203,333,604/37,730
6. Step 6: Final answer
   x = 84,901.50