Finding the Third Proportional to 37,875.94 and 79,677.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,875.94 : 79,677.75 = 79,677.75 : x
2. Step 2: Convert to fraction form
   37,875.94/79,677.75 = 79,677.75/x
3. Step 3: Cross multiply
   37,875.94x = 79,677.75 × 79,677.75
4. Step 4: Simplify right side
   37,875.94x = 6,348,543,845.06
5. Step 5: Solve for x
   x = 6,348,543,845.06/37,875.94
6. Step 6: Final answer
   x = 167,614.17