Finding the Third Proportional to 37,408 and 80,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 80,070.50 = 80,070.50 : x
2. Step 2: Convert to fraction form
   37,408/80,070.50 = 80,070.50/x
3. Step 3: Cross multiply
   37,408x = 80,070.50 × 80,070.50
4. Step 4: Simplify right side
   37,408x = 6,411,284,970.25
5. Step 5: Solve for x
   x = 6,411,284,970.25/37,408
6. Step 6: Final answer
   x = 171,388.07