Finding the Third Proportional to 37,875 and 79,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,875 : 79,666.50 = 79,666.50 : x
2. Step 2: Convert to fraction form
   37,875/79,666.50 = 79,666.50/x
3. Step 3: Cross multiply
   37,875x = 79,666.50 × 79,666.50
4. Step 4: Simplify right side
   37,875x = 6,346,751,222.25
5. Step 5: Solve for x
   x = 6,346,751,222.25/37,875
6. Step 6: Final answer
   x = 167,570.99