Finding the Third Proportional to 37,463.63 and 78,369.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,463.63 : 78,369.75 = 78,369.75 : x
2. Step 2: Convert to fraction form
   37,463.63/78,369.75 = 78,369.75/x
3. Step 3: Cross multiply
   37,463.63x = 78,369.75 × 78,369.75
4. Step 4: Simplify right side
   37,463.63x = 6,141,817,715.06
5. Step 5: Solve for x
   x = 6,141,817,715.06/37,463.63
6. Step 6: Final answer
   x = 163,940.83