Finding the Third Proportional to 39,645 and 52,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,645 : 52,852.50 = 52,852.50 : x
2. Step 2: Convert to fraction form
   39,645/52,852.50 = 52,852.50/x
3. Step 3: Cross multiply
   39,645x = 52,852.50 × 52,852.50
4. Step 4: Simplify right side
   39,645x = 2,793,386,756.25
5. Step 5: Solve for x
   x = 2,793,386,756.25/39,645
6. Step 6: Final answer
   x = 70,460.00