Finding the Third Proportional to 37,850 and 56,776

Step by Step Solution

1. Step 1: Write the proportion equation
   37,850 : 56,776 = 56,776 : x
2. Step 2: Convert to fraction form
   37,850/56,776 = 56,776/x
3. Step 3: Cross multiply
   37,850x = 56,776 × 56,776
4. Step 4: Simplify right side
   37,850x = 3,223,514,176
5. Step 5: Solve for x
   x = 3,223,514,176/37,850
6. Step 6: Final answer
   x = 85,165.50