Finding the Third Proportional to 52,021 and 78,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,021 : 78,547.50 = 78,547.50 : x
2. Step 2: Convert to fraction form
   52,021/78,547.50 = 78,547.50/x
3. Step 3: Cross multiply
   52,021x = 78,547.50 × 78,547.50
4. Step 4: Simplify right side
   52,021x = 6,169,709,756.25
5. Step 5: Solve for x
   x = 6,169,709,756.25/52,021
6. Step 6: Final answer
   x = 118,600.37