Finding the Third Proportional to 37,768 and 56,658

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 56,658 = 56,658 : x
2. Step 2: Convert to fraction form
   37,768/56,658 = 56,658/x
3. Step 3: Cross multiply
   37,768x = 56,658 × 56,658
4. Step 4: Simplify right side
   37,768x = 3,210,128,964
5. Step 5: Solve for x
   x = 3,210,128,964/37,768
6. Step 6: Final answer
   x = 84,996.00