Finding the Third Proportional to 37,969 and 88,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,969 : 88,712.50 = 88,712.50 : x
2. Step 2: Convert to fraction form
   37,969/88,712.50 = 88,712.50/x
3. Step 3: Cross multiply
   37,969x = 88,712.50 × 88,712.50
4. Step 4: Simplify right side
   37,969x = 7,869,907,656.25
5. Step 5: Solve for x
   x = 7,869,907,656.25/37,969
6. Step 6: Final answer
   x = 207,271.92