Finding the Third Proportional to 37,101 and 76,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,101 : 76,024.50 = 76,024.50 : x
2. Step 2: Convert to fraction form
   37,101/76,024.50 = 76,024.50/x
3. Step 3: Cross multiply
   37,101x = 76,024.50 × 76,024.50
4. Step 4: Simplify right side
   37,101x = 5,779,724,600.25
5. Step 5: Solve for x
   x = 5,779,724,600.25/37,101
6. Step 6: Final answer
   x = 155,783.53