Finding the Third Proportional to 37,100 and 76,023

Step by Step Solution

1. Step 1: Write the proportion equation
   37,100 : 76,023 = 76,023 : x
2. Step 2: Convert to fraction form
   37,100/76,023 = 76,023/x
3. Step 3: Cross multiply
   37,100x = 76,023 × 76,023
4. Step 4: Simplify right side
   37,100x = 5,779,496,529
5. Step 5: Solve for x
   x = 5,779,496,529/37,100
6. Step 6: Final answer
   x = 155,781.58