Finding the Third Proportional to 37,776 and 80,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 80,038.50 = 80,038.50 : x
2. Step 2: Convert to fraction form
   37,776/80,038.50 = 80,038.50/x
3. Step 3: Cross multiply
   37,776x = 80,038.50 × 80,038.50
4. Step 4: Simplify right side
   37,776x = 6,406,161,482.25
5. Step 5: Solve for x
   x = 6,406,161,482.25/37,776
6. Step 6: Final answer
   x = 169,582.84