Finding the Third Proportional to 37,130.50 and 77,321

Step by Step Solution

1. Step 1: Write the proportion equation
   37,130.50 : 77,321 = 77,321 : x
2. Step 2: Convert to fraction form
   37,130.50/77,321 = 77,321/x
3. Step 3: Cross multiply
   37,130.50x = 77,321 × 77,321
4. Step 4: Simplify right side
   37,130.50x = 5,978,537,041
5. Step 5: Solve for x
   x = 5,978,537,041/37,130.50
6. Step 6: Final answer
   x = 161,014.18