Finding the Third Proportional to 37,237.50 and 87,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,237.50 : 87,829.50 = 87,829.50 : x
2. Step 2: Convert to fraction form
   37,237.50/87,829.50 = 87,829.50/x
3. Step 3: Cross multiply
   37,237.50x = 87,829.50 × 87,829.50
4. Step 4: Simplify right side
   37,237.50x = 7,714,021,070.25
5. Step 5: Solve for x
   x = 7,714,021,070.25/37,237.50
6. Step 6: Final answer
   x = 207,157.33