Finding the Third Proportional to 37,121 and 57,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,121 : 57,567.50 = 57,567.50 : x
2. Step 2: Convert to fraction form
   37,121/57,567.50 = 57,567.50/x
3. Step 3: Cross multiply
   37,121x = 57,567.50 × 57,567.50
4. Step 4: Simplify right side
   37,121x = 3,314,017,056.25
5. Step 5: Solve for x
   x = 3,314,017,056.25/37,121
6. Step 6: Final answer
   x = 89,276.07