Finding the Third Proportional to 37,671 and 83,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 83,602.50 = 83,602.50 : x
2. Step 2: Convert to fraction form
   37,671/83,602.50 = 83,602.50/x
3. Step 3: Cross multiply
   37,671x = 83,602.50 × 83,602.50
4. Step 4: Simplify right side
   37,671x = 6,989,378,006.25
5. Step 5: Solve for x
   x = 6,989,378,006.25/37,671
6. Step 6: Final answer
   x = 185,537.36