Finding the Third Proportional to 37,635 and 88,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,635 : 88,837.50 = 88,837.50 : x
2. Step 2: Convert to fraction form
   37,635/88,837.50 = 88,837.50/x
3. Step 3: Cross multiply
   37,635x = 88,837.50 × 88,837.50
4. Step 4: Simplify right side
   37,635x = 7,892,101,406.25
5. Step 5: Solve for x
   x = 7,892,101,406.25/37,635
6. Step 6: Final answer
   x = 209,701.11