Finding the Third Proportional to 37,627.50 and 78,354

Step by Step Solution

1. Step 1: Write the proportion equation
   37,627.50 : 78,354 = 78,354 : x
2. Step 2: Convert to fraction form
   37,627.50/78,354 = 78,354/x
3. Step 3: Cross multiply
   37,627.50x = 78,354 × 78,354
4. Step 4: Simplify right side
   37,627.50x = 6,139,349,316
5. Step 5: Solve for x
   x = 6,139,349,316/37,627.50
6. Step 6: Final answer
   x = 163,161.23