Finding the Third Proportional to 15,381 and 37,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,381 : 37,075.50 = 37,075.50 : x
2. Step 2: Convert to fraction form
   15,381/37,075.50 = 37,075.50/x
3. Step 3: Cross multiply
   15,381x = 37,075.50 × 37,075.50
4. Step 4: Simplify right side
   15,381x = 1,374,592,700.25
5. Step 5: Solve for x
   x = 1,374,592,700.25/15,381
6. Step 6: Final answer
   x = 89,369.53