Finding the Third Proportional to 17,507 and 37,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,507 : 37,778.50 = 37,778.50 : x
2. Step 2: Convert to fraction form
   17,507/37,778.50 = 37,778.50/x
3. Step 3: Cross multiply
   17,507x = 37,778.50 × 37,778.50
4. Step 4: Simplify right side
   17,507x = 1,427,215,062.25
5. Step 5: Solve for x
   x = 1,427,215,062.25/17,507
6. Step 6: Final answer
   x = 81,522.54