Finding the Third Proportional to 38,475 and 91,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,475 : 91,327.50 = 91,327.50 : x
2. Step 2: Convert to fraction form
   38,475/91,327.50 = 91,327.50/x
3. Step 3: Cross multiply
   38,475x = 91,327.50 × 91,327.50
4. Step 4: Simplify right side
   38,475x = 8,340,712,256.25
5. Step 5: Solve for x
   x = 8,340,712,256.25/38,475
6. Step 6: Final answer
   x = 216,782.64