Finding the Third Proportional to 35,188 and 54,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,188 : 54,567.50 = 54,567.50 : x
2. Step 2: Convert to fraction form
   35,188/54,567.50 = 54,567.50/x
3. Step 3: Cross multiply
   35,188x = 54,567.50 × 54,567.50
4. Step 4: Simplify right side
   35,188x = 2,977,612,056.25
5. Step 5: Solve for x
   x = 2,977,612,056.25/35,188
6. Step 6: Final answer
   x = 84,620.10